scholarly journals Disorder-induced nonlinear Hall effect with time-reversal symmetry

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Z. Z. Du ◽  
C. M. Wang ◽  
Shuai Li ◽  
Hai-Zhou Lu ◽  
X. C. Xie
Keyword(s):  
Hall Effect ◽  
Time Reversal ◽  
Time Reversal Symmetry

scholarly journals Crystal time-reversal symmetry breaking and spontaneous Hall effect in collinear antiferromagnets

2020 ◽  
Vol 6 (23) ◽  
pp. eaaz8809 ◽  
Author(s):  
Libor Šmejkal ◽  
Rafael González-Hernández ◽  
T. Jungwirth ◽  
J. Sinova
Keyword(s):  
Symmetry Breaking ◽  
Hall Effect ◽  
Time Reversal ◽  
Spin Structure ◽  
Transverse Velocity ◽  
Time Reversal Symmetry ◽  
Large Magnitude ◽  
Low Dissipation ◽  
Magnetization Density ◽  
Symmetry Breaking Phenomena

Electrons, commonly moving along the applied electric field, acquire in certain magnets a dissipationless transverse velocity. This spontaneous Hall effect, found more than a century ago, has been understood in terms of the time-reversal symmetry breaking by the internal spin structure of a ferromagnetic, noncolinear antiferromagnetic, or skyrmionic form. Here, we identify previously overlooked robust Hall effect mechanism arising from collinear antiferromagnetism combined with nonmagnetic atoms at noncentrosymmetric positions. We predict a large magnitude of this crystal Hall effect in a room temperature collinear antiferromagnet RuO2 and catalog, based on symmetry rules, extensive families of material candidates. We show that the crystal Hall effect is accompanied by the possibility to control its sign by the crystal chirality. We illustrate that accounting for the full magnetization density distribution instead of the simplified spin structure sheds new light on symmetry breaking phenomena in magnets and opens an alternative avenue toward low-dissipation nanoelectronics.

scholarly journals Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

2021 ◽  
Vol 118 (8) ◽  
pp. e2013386118 ◽  
Author(s):  
Sami Dzsaber ◽  
Xinlin Yan ◽  
Mathieu Taupin ◽  
Gaku Eguchi ◽  
Andrey Prokofiev ◽  
...  
Keyword(s):  
Hall Effect ◽  
Time Reversal ◽  
Anomalous Hall Effect ◽  
Time Reversal Symmetry ◽  
Strong Electron ◽  
Band Theory ◽  
Fermion Systems ◽  
Topological Quantum ◽  
Interacting Systems ◽  
Nontrivial Topology

Nontrivial topology in condensed-matter systems enriches quantum states of matter to go beyond either the classification into metals and insulators in terms of conventional band theory or that of symmetry-broken phases by Landau’s order parameter framework. So far, focus has been on weakly interacting systems, and little is known about the limit of strong electron correlations. Heavy fermion systems are a highly versatile platform to explore this regime. Here we report the discovery of a giant spontaneous Hall effect in the Kondo semimetal Ce3Bi4Pd3 that is noncentrosymmetric but preserves time-reversal symmetry. We attribute this finding to Weyl nodes—singularities of the Berry curvature—that emerge in the immediate vicinity of the Fermi level due to the Kondo interaction. We stress that this phenomenon is distinct from the previously detected anomalous Hall effect in materials with broken time-reversal symmetry; instead, it manifests an extreme topological response that requires a beyond-perturbation-theory description of the previously proposed nonlinear Hall effect. The large magnitude of the effect in even tiny electric and zero magnetic fields as well as its robust bulk nature may aid the exploitation in topological quantum devices.

scholarly journals Time-Reversal-Symmetry-Broken Quantum Spin Hall Effect

2011 ◽  
Vol 107 (6) ◽  
Author(s):  
Yunyou Yang ◽  
Zhong Xu ◽  
L. Sheng ◽  
Baigeng Wang ◽  
D. Y. Xing ◽  
...  
Keyword(s):  
Hall Effect ◽  
Time Reversal ◽  
Quantum Spin ◽  
Spin Hall Effect ◽  
Time Reversal Symmetry ◽  
Quantum Spin Hall Effect ◽  
Quantum Spin Hall

Spin Chern numbers and time-reversal-symmetry-broken quantum spin Hall effect

2013 ◽  
Vol 22 (6) ◽  
pp. 067201 ◽  
Author(s):  
Li Sheng ◽  
Hui-Chao Li ◽  
Yun-You Yang ◽  
Dong-Ning Sheng ◽  
Ding-Yu Xing
Keyword(s):  
Hall Effect ◽  
Time Reversal ◽  
Quantum Spin ◽  
Spin Hall Effect ◽  
Time Reversal Symmetry ◽  
Quantum Spin Hall Effect ◽  
Chern Numbers ◽  
Quantum Spin Hall

scholarly journals Giant nonlinear Hall effect in twisted bilayer WTe2

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Zhihai He ◽  
Hongming Weng
Keyword(s):  
Fermi Level ◽  
Hall Effect ◽  
Time Reversal ◽  
Large Amplitude ◽  
Second Order ◽  
Time Reversal Symmetry ◽  
Inversion Symmetry ◽  
Berry Curvature ◽  
High Tunability

AbstractIn a system with broken inversion symmetry, a second-order nonlinear Hall effect can survive even in the presence of time-reversal symmetry. In this work, we show that a giant nonlinear Hall effect can exist in twisted bilayer WTe2 system. The Berry curvature dipole of twisted bilayer WTe2 (θ = 29.4°) can reach up to ~1400 Å, which is much larger than that in previously reported nonlinear Hall systems. In twisted bilayer WTe2 system, there exist abundant band anticrossings and band inversions around the Fermi level, which brings a complicated distribution of Berry curvature, and leads to the nonlinear Hall signals that exhibit dramatically oscillating behavior in this system. Its large amplitude and high tunability indicate that the twisted bilayer WTe2 can be an excellent platform for studying the nonlinear Hall effect.

scholarly journals Topological thermal Hall effect due to Weyl magnons

2018 ◽  
Vol 96 (11) ◽  
pp. 1216-1223 ◽  
Author(s):  
S.A. Owerre
Keyword(s):  
Hall Effect ◽  
Time Reversal ◽  
Low Temperatures ◽  
Three Dimensional ◽  
Zero Magnetic Field ◽  
Time Reversal Symmetry ◽  
Frustrated Magnets ◽  
Berry Curvature ◽  
Theoretical Evidence ◽  
Distribution Distance

We present the first theoretical evidence of zero magnetic field topological (anomalous) thermal Hall effect due to Weyl magnons in stacked noncoplanar frustrated kagomé antiferromagnets. The Weyl magnons in this system result from macroscopically broken time-reversal symmetry by the scalar spin chirality of noncoplanar chiral spin textures. Most importantly, they come from the lowest excitation, therefore they can be easily observed experimentally at low temperatures due to the population effect. Similar to electronic Weyl nodes close to the Fermi energy, Weyl magnon nodes at the lowest excitation are the most important. Indeed, we show that the topological (anomalous) thermal Hall effect in this system arises from nonvanishing Berry curvature due to Weyl magnon nodes at the lowest excitation, and it depends on their distribution (distance) in momentum space. The present result paves the way to directly probe low excitation Weyl magnons and macroscopically broken time-reversal symmetry in three-dimensional frustrated magnets with the anomalous thermal Hall effect.

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