صفحه 1:
PPO
Journal of Industrial Physics
Journal of Industrial
Tor hee
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Dark Matter Meets Atomic, Molecular,gnd 1 ۳
۱۶ Crystals with a Mébius Twist
Cold Collisions Get Charged
Bringing into Focus the Debris of Heavy-Ion Collisions
How a Superfluid Becomes a Bose-Einstein Condensate”
Topological Magnetism Turns Elementary
Airborne Spiders Drift on Multiple Silk Threads 3
صفحه 2:
ournal of Industrial
PPO
Journal of Industrial Physics
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صفحه 3:
1.Dark Matter
Meets Atomic,
Molecular, and
Optical Physics 4
into Focus
2.Acoustic
rystals wi
Crystals with a 3.Cold خط الي Get
Mobius Twist
5.How a Superfluid
Becomes a Bose-Einstein
Condensate
. Topological 7.Airborne Spiders Drift.
6 أ 2 on Multiple Silk Threads
Magnetism Turns
Elementary
صفحه 4:
Dark Matter Meets Atomic, Molecular, and
Optical Physics
۰85۶21 ۲ 9
*Department of Physics and Astronomy, Purdue University,
West Lafayette, IN, USA
March 9, 2022¢ Physics 15, 32
A method for detecting dark matter using tiny levitated
spheres could reach an unprecedented sensitivity to
light dark matter particles.
WwW
Figure 1: The dark matter detection scheme proposed by
Afek and co-workers consists of nanospheres (blue) held in
optical traps (red). If a dark matter particle (black) scatters
off a nanosphere, it transfers momentum (q) to the
nanosphere. A laser beam (green) detects the change in the
nanosphere’s position caused by this momentum transfer.
1
Journal of Industral Pee
صفحه 5:
Dark matter accounts for roughly 85% of the total mass in
the Universe, yet its constituents remain unknown. Solving
this mystery calls for a wide range of experiments that can
detect dark matter constituents with different masses and
interactions. Now, Gadi Afek at Yale University and
colleagues have proposed a laboratory-based detector that is
drastically different from existing experiments [1]. The
detector works by measuring the momentum imparted when
dark matter particles scatter off optically trapped nanometer-
scale spheres. This approach provides an entirely new way to
| éppreaekes, tar eteccig, ati,
Haliesn BAN 1ReRA AYA Aledbegry. Hypothetical ۳
called weakly interacting massive particles (WIMPs) were a
byproduct of many theories developed to extend the
standard model of particle physics. WIMPs remain viable and
well-motivated dark matter candidates with masses above
about 1 GeV/c2 (roughly the mass of a proton). Other
hypothetical particles known as axions remain attractive
dark matter candidates for a range of masses below 100
meV/c2.
Decades of searches for WIMPs and axions have so far co!
up empty handed. However, the next few years will
experiments—such as ADMX [2], LZ [3], and X1
صفحه 6:
the expected parameter space for these particles. This
statement is by no means trivial: it took decades of vigorous
technological development to get to this point. But what if
dark matter is not WIMPs or axions? What other possibilities
are there, and what opportunities arise for both theoretical
model building and novel experimental approaches? Clearly,
the significance of the dark matter problem mandates
PRL ۳ Db BR” EARP Bde A" hee tb
23 Containing superfluid helium that can discern the
tiny amounts of crystal-lattice vibrations generated when a
dark matter particle hits a target atomic nucleus in the
detector [8]. All these methods are optimized for the lowest-
possible energy thresholds, which are particularly crucial
Athindndkingvforkers: Gevioacank madteally different (Fig.
1). Instead of measuring the energy imparted when dark
matter scatters off a target, the authors propose to directly
detect the momentum transferred to the target. Instead of
using macroscopic detectors with a large mass (typically,
kilograms or even metric tons), they suggest using levitated
spheres that are only nanometers across. And instead of.
using detectors that rely on nuclear physics methodg, th,
propose to use techniques from atomic, mole:
optical physics. The nanospheres are optically,
صفحه 7:
Then their positions are read out with high precision by a
second laser containing squeezed light—a state of light in
which one component of quantum noise is lower than a
fundamental limit called the standard quantum limit. The
particular proposal calls for 10 dB of quantum-noise reduction
relative to the stanquantum limit, which is challenging, but it
has been demonstrated in similar systems [9].
dard The authors realized that the size of the trapped
nanospheres can be tuned to optimize the sensitivity of the
experiment to dark matter. If a light dark matter particle
scatters off a nanosphere, the wavelength associated with the
imparted momentum can be larger than the nanosphere. In
that case, the scattering process will be coherent over the
entire nanosphere: the dark matter particle will interact with
all the nucleons (neutrons and protons) of the nanosphere at
once. Basic quantum mechanics tells us that the probability of
such scattering is calculated by adding up the individual dark
matter-nucleon scattering amplitudes for each nucleon and
then squaring the result. Therefore, the scattering probabilit)
scales with the square of the number of nucleons. Fi
nanosphere containing 106 nucleons, the probaby
enhanced by a huge factor ( 1012). This effect,
صفحه 8:
However, for an experiment to be sensitive to dark matter, it
is not enough to be able to detect dark matter signals.
Crucially, the experiment also needs to be able to suppress
or distinguish all relevant backgrounds that would otherwise
mimic a dark matter signal. Afek and colleagues make the
best effort to estimate known backgrounds for their levitated
nanospheres. They find that interactions between residual
gas particles and the nanospheres are tolerable in a routinely
achievable ultrahigh vacuum; that thermal noise is
acceptable at moderate cryogenic temperatures; and that a
few other backgrounds should not swamp a dark matter
signal.
Backgrounds will limit the sensitivity of the proposed
experiment and will drive its design and operation. For
instance, to improve the signal-to-noise ratio, the experiment
will need to be scaled up to a large array of nanospheres.
Nevertheless, the prospects are thrilling. Should signals be
seen, their dark matter origin could be disentangled from
instrumental artifacts or other backgrounds through their
momentum spectrum and through their dependence on thg
nanosphere material. In addition, given that Earth complg
one rotation each day, the direction of the
imparted by dark matter is expected to e
صفحه 9:
Whether all these expectations hold true remains to be
seen; the proposed experiment is not easy by any standard,
and the requirements on its signal sensitivity and
background control are extreme. Yet the authors are part of
a small but growing community that is pursuing innovative
detection methods, exploiting progress from atomic,
molecular, and optical physics to address the dark matter
problem [10]. The next few years will be very exciting.
While conventional experiments are probing the most
promising regions of the WIMP and axion parameter spaces,
entirely novel detection schemes are being proposed, with
potentially transformative improvements for the sensitivity
of experiments to dark matter.
صفحه 10:
ع1
G. Afek et al., “Coherent scattering of low mass dark matter
from optically trapped sensors,” Phys. Rev. Lett. 128,
101301 (2022).
T. Braine et al. (ADMX Collaboration), “Extended search for
the invisible axion with the Axion Dark Matter Experiment,”
Phys. Rev. Lett. 124, 101303 (2020).
D.S. Akerib et al. (LUX-ZEPLIN Collaboration), “Projected
WIMP sensitivity of the LUX-ZEPLIN dark matter
experiment,” Phys. Rev. D 101, 052002 (2020).
E. Aprile et al. “Projected WIMP sensitivity of the
XENONnT dark matter experiment,” J. Cosmol. Astropart.
Phys. 2020, 031 (2020).
L. Barak et al. (SENSEI Collaboration), “SENSEI: Direct-
detection results on sub-GeV dark matter from a new
Skipper CCD,” Phys. Rev. Lett. 125, 171802 (2020).
A.H. Abdelhameed et al. (CRESST Collaboration), “First
results from the CRESSTIII low-mass dark matter
program,” Phys. Rev. D 100, 102002 (2019).
R. Agnese et al. “First dark matter constraints from a
SuperCDMS single-charge sensitive detector,” Phys. Rev.
Lett. 121, 051301 (2018).
S, A. Lyon et al., “Single phonon detection for dark matter
via quantum evaporation and sensing of 3helium,”
arXiv:2201.00738.
L. Magrini et al, “Squeezed light from
nanoparticle at room temperature, ” arXiv:2202.0932.
ao sing ingg
4 0)
صفحه 11:
About the Author
Rafael Lang is a
professor of physics
and astronomy at
Purdue University,
Indiana. He obtained
his Ph.D. working on
the CRESST dark
matter search at the
Max Planck Institute
for Physics,
Germany. He then
joined the XENON
Collaboration, _ first
as a_ postdoctoral
researcher at
Columbia University
and then at Purdue.
He chairs the
Supernova Early
Warning System,
which looks ۲
neutrinos from a
Galactic supernova.
He recently founded
the Windchime
Collaboration, which
uses a large array of
mechanical
accelerometers to
search for dark
Se عا و ع يو يي
صفحه 12:
Acoustic Crystals with a
Mobius Twist
*Yuanchen Deng and Yun Jing
‘Graduate Program in Acoustics, College of Engineering, The
Pennsylvania State University, University Park, PA, USA
March 14, 2022+ Physics 15, 36
By manipulating symmetries in acoustic lattices, two
independent groups have created a topological insulator
with a new, exotic topology.
Figure 1: Cartoon of a 2D acoustic lattice and the Mébius loop
encoded in its topoplogy.
BPO
صفحه 13:
The Mébius loop is an iconic geometry that shows the oddity
of a topological transformation. One can easily construct this
one-sided surface by twisting a strip of paper by 180° and
sticking the ends of the strip together (Fig. 1). As topology
has turned into a central topic in condensed-matter physics,
an interesting question arises: Can a Mébius-like geometry
interact with topological states and enrich them? Seeking an
answer to that question, two groups of researchers from
Nanyang Technological University, Singapore, and Wuhan
University, China, respectively, have coupled a Mébius loop
with the topological edge states of acoustic lattices—periodic
arrays of acoustic resonators [1,2]. The experimental
observations indicating that this system hosts a new class of
“Mebiupdivisied” phaspslogisalopdiegdcal wihlatasake clark
fundamental wasearrb panactignmiariraclogyaandomayplvagiéal
neystalevisesn dom roenthallingo arousticnieny elartinagagtin
W9H@hetries, in which the set of operations that leave the
crystal structure unchanged has a fixed point. Other types of
symmetries, however, remain largely unexplored, including
those that involve translational symmetry
displacement that is nonprimitive; that is,
correspond to a multiple of a lattice vector.
صفحه 14:
In 2015, a theoretical model for a nonsymmorphic symmetry
—a symmetry about a glide plane or screw axis, which cannot
be described as a combination of translations and rotations—
revealed a new route toward a Z, topological phase that does
not involve antiunitary symmetries [3]. It was predicted that
this new topological phase supports stable and gapless
topological edge states with a Médbius twist in the band
structures, leading to systems with such a topological phase
being dubbed “Mébius insulators.”
Mébius insulators have bands with a 4m periodicity in the
projective translational symmetry direction—meaning that,
like a finger tracing the surface of a Mébius strip, a particle
must complete two circuits of the system before it returns to
its initial location and phase. While researchers have been
looking for Mébius insulators in various quantum systems [4-
6], topological acoustic lattices offer an alternative
experimental path for finding these exotic systems as the
Nanyang and Wuhan groups show.
صفحه 15:
Acoustic lattices have become fertile ground for
investigating topological physics owing to the flexibility with
which the hopping of acoustic waves between lattice sites
can be manipulated. In acoustic lattices, this hopping, which
corresponds to the hopping of electrons between lattice
sites in electronic topological materials, is engineered using
coupling tubes. Resonating cavities, meanwhile, provide the
counterparts of the on-site orbitals in electronic topological
materials. Using these components, researchers can not
onc engigreboenmetdeahsynumetiigsekat beercontea tee
ao Af dba aheuSAPRWAdrupole topological insulators [7,
8]. Acoustic quadrupole insulators provide some essential
features of Mébius insulators—such as the n gauge flux,
which describes how a particle hopping around a group of
four neighboring lattice sites has its phase changed after
one circuit. However, the challenging realization of a
lattice with the nonsymmorphic symmetries that produce
the Mébius topology has not yet been achieved. The
Nanyang and Wuhan groups have found an alternative way
to create this topology by replacing nonsymmorphic
symmetries with a more easily realizable prgject
symmetry (so called because it is created by a pug
rimitive translation symmet
صفحه 16:
Figure 2: (Left) Photograph of the 2D acoustic lattice
constructed by the Nanyang group. (Right) Schematic of the
3D acoustic lattice constructed by the Wuhan group.
The researchers from Nanyang Technological University
constructed a 2D acoustic lattice by combining cuboid
acoustic resonators with coupling tubes, allowing the control
of the sign of the hopping terms (Fig. 2) [1]. The 2D
translational symmetry in such a lattice creates a fourfold
degenerate Dirac point in the band structure.
صفحه 17:
Interestingly, the behavior of the band structure varies
depending on how the symmetry is broken. The acoustic
lattice shows topological edge-state bands featuring a Mébius
twist when the translational symmetry is broken in
the x direction, while the one in the y direction is preserved.
The researchers observed these twisted gapless edge states,
which are detached from the bulk bands, by measuring the
acoustic pressure distributions on the xand y edges and
determining the edge-state dispersion. If the translation
symmetries in both the xand ydirections are broken, the
acoustic lattice shows a graphene-like semimetal phase. In
this case, a flat edge band exists on the edge parallel to
the x direction, and this band connects the two Fermi points.
The resaickings fonthwutasagureérsieg gastcdepantioduckdth
Birexatnal aradiatoustidamerstraiesisthig GrantlapRnRrsees
betaeoesticthésomtrs baepladiptihg RaBeS (Figd 2) نوه 01189
SESUPEsEGot only Mobius twisted edge states but also high-
order topological states with energy confined at the hinges,
which demonstrate that the projective symmetry can endow
3D systems with unique features. Given the extra dimension,
3D acoustic Médbius insulators show the capability
engineering the topological order of acoustic lattic
as the ability to route acoustic energy in the z di
صفحه 18:
The construction of acoustic Mébius insulators shows the
potential of the acoustic lattice as a robust platform for
pushing the frontiers of topology exploration in condensed-
matter systems. It would be exciting to see whether the use
of projective symmetry can be expanded to bring new physics
to a large number of topological systems; projective inversion
symmetry, for example, can be harnessed to achieve, in a
spinless system, topological phases that would otherwise be
unique to spinful systems and vice versa [9]. The
generalization of these works will also benefit research in
other systems carrying classical waves, such as
electromagnetic and elastic waves, in which gauge fields can
be readily realized. Finally, the observation of these new
topological acoustic states may inspire new devices that
feature extraordinary acoustic wave behaviors, such as the
waveguiding of acoustic energy and the control of acoustic
noise.
صفحه 19:
References
1H. Xue et al., “Projectively enriched symmetry and
topology in acoustic crystals,” Phys. Rev. Lett. 128, 116802
(2022).
2.7. Li et al., “Acoustic Mébius insulators from projective
symmetry,” Phys. Rev. Lett. 128, 116803 (2022).
3.K. Shiozaki et al., “Z2 topology in nonsymmorphic
crystalline insulators: Mébius twist in surface states,” Phys.
Rey. B 91, 155120 (2015).
4,Y. X. Zhao and A. P, Schnyder, “Nonsymmorphic symmetry-
required band crossings in topological semimetals,” Phys.
Rev. B 94, 195109 (2016).
5.P. Y. Chang et al., “Mébius Kondo insulators,” Nat. Phys.
13, 794 (2017).
6.R. X. Zhang et al., “Mébius insulator and higher-order
topology in MnBi2nTe3n+1,” Phys. Rev. Lett. 124, 136407
(2020).
7.M. Serra-Garcia et al., “Observation of a phononic
quadrupole topological insulator,” Nature 555, 342 (2018).
8.Y. Qi et al., “Acoustic realization of quadrupole topologic
insulators,” Phys. Rev. Lett. 124, 206601 (2020).
لاو X. Zhao et al., “Switching spinless
topological phases with projective PT symm
صفحه 20:
About the Authors
Yuanchen Deng
received a B.S. in
physics from
Nanjing
University, China
in 2015. He is
currently
pursuing a Ph.D
in the Graduate
Program of
Acoustics 2 ب
Pennsylvania
State University.
His research
focuses on
acoustic devices
and structures
inspired by
topological
physics
صفحه 21:
About the Authors
Yun Jing received a
B.S. in acoustics from
Nanjing University,
China, in 2006 and
received an M.S, and
later a Ph.D. from
Rensselaer Polytechnic
Institute, New York, in
2007 and 2009,
respectively. He is
currently an associate
professor in the
Graduate Program in
Acoustics at
Pennsylvania State
University. His
research interests B
include physical
acoustics and
biomedical ultrasound.
He is a fellow of the
Acoustical Society of
America and a senior
member of IEEE. He
has received numerous
awards such as the
2018 R. Bruce Lindsay
Award from the
Acoustical Society of
America, the 2018
IEEE Ultrasonics Early
Career _ Investigator
Award, the 2018 MIT
2 7
صفحه 22:
Cold Collisions Get Charged
March 10, 2022+ Physics 15, 2
Researchers demonstrate that they can create molecules
from lithium dimers and ytterbium ions, paving the way
for quantum chemistry studies in a new type of system.
02
To understand the influence of quantum effects on a
chemical reaction, scientists typically perform the
reaction at ultracold temperatures, where they can more
easily model the quantum collisions that produce
molecules. Those collisions have been studied
experimentally at ultralow temperatures for two atoms
but not for the more complex scenario of an ion and a
molecule. Now, Henrik Hirzler at the University of
Amsterdam and his colleagues have changed that,
observing ultracold reactions between ytterbium ions
and lithium dimers [1]. The demonstration ands the
kinds of reactions for which scientists و >
quantum effects.
صفحه 23:
To make their molecules, the team took the following steps:
First, they trapped a single ytterbium ion ( Yb+). Second, they
prepared a cloud of ultracold lithium atoms and dimers. Third,
they spatially overlapped the cloud and the ion. After letting
the ion and atom cloud interact for 500 ms, they checked the
هم ا ۱
present in the cloud, Yb+ was more likely to have stopped
fluorescing after that time period, something that indicates a
shift in the spacing between the ion’s energy levels. The team
showed, using mass spectrometry, that this shift was due to
ی Uehium dimer to form Yau aaa
they can make molecular ions, they say that they hope to
study in more detail the quantum effects involved in these
reactions. They think that these ultracold molecules could
also be used in quantum sensors and in searches for new
physics.
Rateacegnick ۱ ۱
۳ ریز amie “Snserieaslanet Hanes WattorRased in
Seatieashingioied ion and ultracold Feshbach
dimers,” Phys. Rev. Lett. 128, 103401 (2022).
صفحه 24:
Bringing into Focus the Debris of Heav
Ion Collisions
March 9, 2022+ Physics 15, s26
A deblurring technique pioneered in optics could correct
for measurement-induced smearing of particle
distributions in a _ high-energy nuclear collision
experiment. = *
“Oa
High-energy heavy-ion collisions create dense, hot
nuclear matter. Researchers have been colliding
such ions for 60 years. But issues with pinpointing
some experimental parameters make it hard for
them to determine some information about the
collision debris, leading to “blurred” measurements.
Now, Pawel Danielewicz of Michigan State
University and Mizuki Kurata-Nishimura of RIKEN
Nishina Center, Japan, propose a method for
reducing these distortions [1].
SP
Jounal of tndusal Phos
صفحه 25:
In a__ high-energy _heavy-ion-collision _ experiment,
researchers collide two ions and then measure the energies
and angles of the resulting particles. From these particles,
they can coarsely assess the orientation at which the ions
enter a collision. They then calculate averages for the
orientations of the produced particles relative to that
approximate ion orientation. But these averages come at
the expense of resolution and detail: they forsake
information on how particles get distributed relative to the
precise orientation.
To address this issue, Danielewicz and Kurata-Nishimura
turned to a deblurring algorithm that is used in optics
experiments to sharpen an image of an object that appears
unfocused. Applying that algorithm to data simulations for
a recent heavy-ion experiment at the Radioactive Isotope
Beam Factory at RIKEN, the duo show that they can
reverse the distortion of angular distributions caused by
uncertainties in the colliding ions’ orientations.
صفحه 26:
In simulations, the duo also demonstrate that the optics
algorithm can restore “true” angular distributions, relative
to some fixed system orientation, in a manner akin to
restoring car license plate numbers from blurred speed-
camera photos. These corrected distributions provide 3D
trajectory information about the system, giving a direct
view into the central region of the hot, dense matter created
during the collision. Danielewicz and Kurata-Nishimura say
that this view could yield improved insights into high-energy
collisions.
-Rachel Berkowitz
Rachel Berkowitz is a Corresponding Editor for Physics
peed in Vancouver, Canada.
References
1.P. Danielewicz and M. Kurata-Nishimura, “Deblurring for
nuclei: 3D characteristics of heavy-ion collisions,”
صفحه 27:
How a Superfluid Becomes a Bose-Einste
Condensate
March 8, 2022¢ Physics 15, s33
Researchers have observed the spectrum of an ultracold atomic
gas that can exist as a superfluid or a Bose-Einstein condensate
in a study that could provide clues to the nature of
superconductivity.
Ultracold gases of fermionic atoms offer researchers a
way to study quantum many-body phenomena using
measurement techniques from atomic and molecular
physics. In a new experiment, Hauke Biss of the
University of Hamburg, Germany, and colleagues have
used such a gas to measure the excitation spectrum of a
quantum many-body system that undergoes a transition
from a Bose-Einstein condensate (BEC) to a Bardeen-
Cooper-Schrieffer (BCS) superfluid [1]. The results
provide important benchmark data for theories of strongly
interacting Fermi gases in settings such as neutron stars
and unconventional superconductors. 7 2
1
۱
صفحه 28:
The team trapped a gas of fermionic lithium-6 atoms and,
by tuning a magnetic field, varied how strongly the atoms
interacted. Weakly interacting atoms produced a
superfluid by forming relatively loosely bound Cooper
pairs, analogous to the electron pairs in a conventional
superconductor. Stronger interactions caused each atom
to couple to many of its neighbors. Increasing the binding
energy even further, the atoms paired up to form tightly
bound, molecule-like bosons, condensing into a BEC.
To study this "BEC-BCS crossover,” the team used lasers
to generate excitations in the gas at different atomic
interaction strengths. The spectra of these excitations
near the crossover can provide clues about the nature of
superconductivity, but until now it has been largely
unexplored.
صفحه 29:
The researchers found that the measured spectrum
agreed with theory in the BEC and crossover regimes,
exhibiting a feature called the superfluid gap—an energy
range where no excitations can occur. Toward the BCS
regime, however, measurements and theory diverged.
Biss and colleagues say that the discrepancy could help
researchers improve theories of strongly correlated
superfluids by, for instance, including a consistent
description of particle-hole excitations that form as a
result of particle-energy fluctuations.
-Sophia Chen
Sophia Chen is a freelance science writer based in
Columbus, Ohio.
References
H. Biss et al., “Excitation spectrum and superfluid gap of
an ultracold Fermi gas,” Phys. Rev. Lett. 128, 100401
(2022).
صفحه 30:
»
Topological Magnetism Turns Elementar
+Helen Walker
‘ISIS Neutron and Muon Source, Rutherford Appleton
Laboratory, Didcot, United Xangdom
March 2
Neutron scattering Game provide the evidence of
massless spin waves called Dirac magnons in a single-
element magnetic crystal, offering a new window into
صفحه 31:
Figure 1: The magnon spectrum of gadolinium exhibits
topological features. As shown in gadolinium’s Brillouin
zone (left), there exists a nodal line (black), which extends
along the 1 direction through the K point. The Dirac
crossings along this line have an asymmetric pattern,
represented by the color shading of the Dirac cones (right).
مهم وو وه هلر موه هوجو تلع موه ی ید رس
تلهم مققآر0ن طكرج( 88 1349م physics have a long history of
successfully contributing to each other. For example, Philip
Anderson’s work on superconductivity and symmetry breaking
in 1963 [1] led to the development of the Higgs mechanism,
which explains how particles acquire mass. More recently,
concepts from particle physics have entered the realm of
condensed matter with the observation that electrons in
graphene move as if they were massless, obeying the
relativistic Dirac equation for fermions [2]. This Dirac
behavior has been observed in collective magnetic spin
oscillations, or magnons. Owing to their massless property,
Dirac magnons can propagate over longer distances without
dissipating energy as heat—a potentially useful property i
spintronics. Prior detections of Dirac magnons were ma
2D ferromagnets [3, 4] and 3D antiferromagnets [!
صفحه 32:
Now, Allen Scheie from Oak Ridge National Laboratory,
Tennessee, and colleagues have observed Dirac magnons
in pure elemental gadolinium, a 3D ferromagnet [6, 7].
The practically disorder-free crystal structure of
gadolinium allows the researchers to obtain clean
magnon spectra. The results reveal topological phases in
adolinium and suggest that other elemental magnets
و ون ای از NGS RR UML ماق
feat the band’ structure.
ein m the case of graphene and
other materials, such as topological insulators, the Dirac
cone is observable as a linear crossing of the conduction and
valence electronic bands. Near the crossing point, the
electrons can be described by the Dirac equation, which was
originally derived for the case of massless fermions.
However, Dirac physics is not limited to fermions.
Experiments have shown that bosons, such as magnons,
plasmons, and phonons, can have Dirac crossings in their
band structures. Magnons are quasiparticles describing
quantized disturbances of the magnetic structure. These
disturbances propagate as spin waves in roughly the same
way as phonon excitations propagate as displacement wayg
within the crystal lattice. Dirac crossings of magpgn }
have previously been observed in a nug
CoTiQ
صفحه 33:
Scheie and co-workers have now provided ه full
characterization of the Dirac magnons in a single-element
material, gadolinium (Ga).
Gadolinium is a rare-Earth magnetic material that is used in
nuclear-power generation, medical imaging, magnetic
refrigeration, and solid oxide fuel cells. It is metallic,
crystallizes in a hexagonal-close-packed structure (a simple
3D bipartite lattice), and becomes ferromagnetic at a critical
temperature of 293 K. The material has near-perfect isotropy
and vanishing spin-orbit coupling, making it a simple model
system for studying magnon behavior.
Scheie and colleagues studied Gd using inelastic neutron
scattering at the Spallation Neutron Source at Oak Ridge
National Laboratory. In this technique, neutrons, which have
magnetic moments, create and annihilate magnons when
they scatter from a Gd crystal. By measuring the energy lost
by the neutrons during the scattering process, the
researchers were able to identify magnon modes over all
directions within the crystal lattice, going beyond previ,
measurements that focused on only certain lattice,
صفحه 34:
The data were plotted in the Brillouin zone (BZ), the primitive
unit cell in momentum space, which is a hexagonal prism in the
case of Gd (Fig. 1). Points in the BZ are specified by the indices
(hk), which are normalized with respect to the lattice
spacing. Previous work had detected a linear Dirac crossing at
the K point (1/3, 1/3 ,0), but the fuller picture provided by
Scheie and colleagues reveals that the crossing is degenerate,
extending along all values of the index 1. Such a feature is
called a nodal line.
The nodal line along | shows an anisotropic intensity pattern; in
other words, the neutron scattering is greater on one side of
the Dirac cone than on the other. The direction of this
modulation is inverted for energies above and below the
crossing point. This winding behavior is the signature of a
topological phase called a Berry phase. The topological
character of this phase is determined by Gd’s symmetries,
which include both inversion and time-reversal symmetry.
These same symmetries protect the magnon nodal lines from
disorder that could affect the crossing. The calculations رط
Scheie and co-workers suggest that the nodal lines produgg
صفحه 35:
Moving along the nodal line, the Dirac cone flattens at 1=1/2
into a nodal plane—a degeneracy in the modes at all h and k.
Electronic nodal planes were predicted in semimetals and have
been observed at the Fermi surface of the topological material
MnSi, but the team’s experiments provide the first
experimental observation of a magnonic nodal plane. This
magnon equivalent of an electronic nodal plane expands the
set of analogies between topological magnets and topological
electronic systems, which have proven very fruitful in
extending knowledge of one system onto the other. The
consequences of the nodal plane remain open to future study,
with potential for topological magnon bands beyond Dirac
cones.
Gadolinium is not the only elemental, hexagonal-close-packed
ferromagnet, as similar properties are found in other rare-
Earth metals, such as terbium and dysprosium, and in
hexagonal cobalt. Given the intrinsic connection between
symmetry and topology, these related magnets might ho;
similar magnon features, but their topology could be diffg
because their magnetic interactions are more anigg
those of Gd. Through theoretical modeling,
صفحه 36:
For example, they looked at the antisymmetric
Dzyaloshinskii-Moriya exchange interaction, which
breaks time-reversal symmetry. They found that this
interaction lifts the nodal plane degeneracy while leaving
the 1=1/2 nodal lines, potentially resulting in surface
magnon modes with a preferred handedness, or chirality.
Such chiral modes would depend on spin orientation and
could be tuned with a magnetic field, but they could also
be suppressed by effects like spin-orbit coupling. Further
theoretical modeling is necessary to determine whether
chiral surface modes could be observed. But gadolinium
has opened the door to a new realm of possibilities in
topological magnetism.
صفحه 37:
IDeA
1.P. W. Anderson, “Plasmons, Gauge Invariance, and Mass,”
Phys. Rev. 130, 439 (1963).
ferences
2.A. H. Castro Neto et al., “The electronic properties of
graphene,” Rev. Mod. Phys. 81, 109 (2009).
3.L. Chen et al., “Topological spin excitations in honeycomb
ferromagnet CrI3,” Phys. Rev. X 8, 041028 (2018); “Topological
spin excitations in honeycomb ferromagnet CrI3,” 8, 041028
(2018).
4.B, Yuan et al., “Dirac magnons in a honeycomb lattice quantum
XY magnet CoTi03,” Phys. Rev. X 10, 011062 (2020); M. Elliot et
al., “Order-by-disorder from bond-dependent exchange and
intensity signature of nodal quasiparticles in a honeycomb
cobaltate,” Nat. Commun. 12, 3936 (2021).
5.W. Yao et al., “Topological spin excitations in a three-
dimensional antiferromagnet,” Nat. Phys. 14, 1011 (2018); PB
Bao, D. Y. Tsao, “Representation of multiple objects in macaque
category-selective areas,” Nat. Commun. 9, 1774 (2018).
6.A. Scheie et al., “Dirac magnons, nodal lines, and nodal plane
in elemental gadolinium,” Phys. Rev. Lett. 128, 097201 (2022),
7.. Scheie et al., “Spin-exchange Hamiltonian and topolg
degeneracies in elemental gadolinium,” :
104402 (2022).
صفحه 38:
About the Authors
Helen Walker is a staff
scientist at the ISIS
Neutron and Muon
Source in the UK,
specializing in
exploring the
collective dynamics of
functional _ materials.
She holds an
undergraduate degree
in natural sciences
from the University of
Cambridge and a Ph.D.
in experimental
condensed-matter
physics from
University College R
London. Prior 16
becoming a neutron
scientist, she worked
at the European
Synchrotron Radiation
Facility in France and
at PETRA III at DESY,
Germany. Her
research _ interests
include magnetism in
metal organic
frameworks and
structure-dynamics-
property relations in
barocalorics. She won
the ESRF Young
سس سس سس سس 2
صفحه 39:
Airborne Spiders Drift on Multiple
11 6
March 4, 2022¢ Physics 15, 31
Simulations reveal new details of the way spiders can
fly by exploiting the electric field present in the
SBMROSBRBEE: can float and drift like a balloon, with lift
provided by electrostatic forces or air currents or both. Now
researchers have simulated the process at a new level of detail
and have shown the importance of the spatial arrangement of
the threads that the spider emits and uses to fly [1]. In
contrast to earlier models that involve only a single thread and
some subset of environmental forces, the new simulations
provide a complete description of the force balance that
determines whether a spider balloons or stays on the ground.
Explanations for spiders’ ability to float fall into two main
categories. Both invoke forces that act on the silk threads a
spider emits for this purpose, which can number in the
hundreds, depending on the species. One idea is that when air
warmed by the sun rises, the spider’s threads catch the
updraft, The other hypothesis is that the atmosphere’s weak
but ever-present vertical electric field acts on the threads’
static electric charge.
Researchers have previously explored both hypotheses with
experiments, but it’s difficult to observe the effects of airflow
or electric fields on tiny, wispy threads. Simulations have been
performed in one dimension and have assumed a single
thread, even though multiple threads can havg siqpific:
effects, says M. Khalid Jawed of the Universit ۱
Los Angeles. For example, in the electrostatic méwfan’m,
lift force should be strongly affected by the spatial‘distribution
صفحه 40:
Now, Jawed and Charbel Habchi of Notre Dame University-
Louaize in Lebanon have turned to an algorithm developed by
the computer graphics community. “Several hit Hollywood
movies, such as The Hobbit and the Planet of the Apes series,
have used this formulation for fur and hair,” Habchi says.
The algorithm divides each thread into many spaghetti-like
segments that can bend, stretch, and twist. The simulations
approximate an Erigone spider as a 2-mm-wide solid sphere
with 2, 4, or 8 threads attached at the top, oriented vertically at
the start. Each thread is coated with electric charges. The
researchers accounted for gravity; the atmosphere’s electric
eld, which decreases with height; the threads’ glectric charge:
ا rest on the ground’ a
is lifted by the electric. field. @ the charged, initially
straight threads remain attached to the spider, their mutual
repulsion causes them to spread apart over a period of time.
As the spider accelerates upward, downward drag increases
and—combined with the spider's weight—eventually cancels
the lifting force. This competition between upward ani
downward forces determines a spider’s final (termi
upward velocity.
صفحه 41:
The researchers conclude that multiple threads, if
charged, will retain an ordered arrangement rather than
tangling, as they might in the absence of any charge or
electric field. “We think that, at least for small spiders, the
electric field, without any help from upward air currents,
can cause ballooning,” says Habchi. However, larger
spiders would require a boost from upward airflow.
Habchi and Jawed found that their typical computed
vertical velocities of 8.5 cm/s agreed with recent
experimental studies of Erigone spiders enclosed in a
chamber with a controllable electric field. They hope to
observe ~~ “ats while
measurir nd other
environn
Wingless flier. Erigone atra spider from North
صفحه 42:
Peter Gorham, a particle astrophysicist at the
University of Hawaii who also studies spiders, says that
the researchers “have tackled the mathematics
associated with this complex classical mechanics
problem with creativity and care.” Regarding the
multithread dynamics, the researchers “demonstrate
rigorously a conclusion that is intuitively simple yet
challenging to prove.”
The team also examined two different ways by which
electric charge could be distributed on a thread. They
performed the simulations assuming either a uniform
distribution along the entire thread or a distribution
localized at the thread’s tip. Those studies showed that
both could generate the force necessary for lifting.
Going beyond biology, Habchi says that the work could
lead to new devices for environmental science. “This
understanding could be helpful for designing new types
of ballooning sensors as probes to explore atmospheric
Py 3 tsi
- ae Jawed oc Ralooning: dor for
هه sede
arid alba SH
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