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Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly

Journal Article · · Physical Review B
 [1];  [2];  [3];  [1]
  1. Case Western Reserve Univ., Cleveland, OH (United States)
  2. Argonne National Lab. (ANL), Lemont, IL (United States); Northwestern-Argonne Inst. of Science and Engineering, Evanston, IL (United States)
  3. Univ. of Waterloo, ON (Canada)

In this work, we predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed-the Weyl cones are "tilted"-the concerted actions of the anomalous velocity and the chiral anomaly give rise to the nonlinear Hall effect. This Hall conductivity is linear in both electric and magnetic fields and depends critically on the tilting of the Weyl cones. We also show that this effect does not rely on a finite Berry curvature dipole, in contrast with the intrinsic quantum nonlinear Hall effect that was recently observed in type-II Weyl semimetals.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357; AC02-07CH11358
OSTI ID:
1765457
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 4 Vol. 103; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (54)

A PCAC puzzle: π0→γγ in the σ-model journal March 1969
A no-go theorem for regularizing chiral fermions journal October 1981
Absence of neutrinos on a lattice journal December 1981
Type-II Weyl semimetals journal November 2015
Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal journal February 2016
Symmetry-protected ideal Weyl semimetal in HgTe-class materials journal April 2016
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class journal June 2015
Spectroscopic evidence for a type II Weyl semimetallic state in MoTe2 journal July 2016
Observation of Weyl nodes in TaAs journal August 2015
Disorder-induced nonlinear Hall effect with time-reversal symmetry journal July 2019
Observation of Weyl fermions in a magnetic non-centrosymmetric crystal journal July 2020
Nonlinear anomalous Hall effect in few-layer WTe2 journal February 2019
Bilinear magnetoelectric resistance as a probe of three-dimensional spin texture in topological surface states journal February 2018
Observation of the nonlinear Hall effect under time-reversal-symmetric conditions journal December 2018
Origin of planar Hall effect in type-II Weyl semimetal MoTe 2 journal May 2019
Axial-Vector Vertex in Spinor Electrodynamics journal January 1969
Hall Effect in Ferromagnetics journal September 1954
Anisotropic planar Hall effect in the type-II topological Weyl semimetal WTe 2 journal November 2019
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal May 2011
Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates journal August 2011
Time-reversal invariant realization of the Weyl semimetal phase journal January 2012
Weyl semimetal with broken time reversal and inversion symmetries journal April 2012
Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates journal June 2012
Topological response in Weyl semimetals and the chiral anomaly journal September 2012
Chiral anomaly and classical negative magnetoresistance of Weyl metals journal September 2013
Boltzmann equation approach to anomalous transport in a Weyl metal journal May 2014
Prediction of Weyl semimetal in orthorhombic MoTe 2 journal October 2015
Topological currents in black phosphorus with broken inversion symmetry journal December 2015
Dirac cone tilt on interband optical background of type-I and type-II Weyl semimetals journal October 2016
Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals journal December 2016
Giant planar Hall effect in topological metals journal July 2017
Magnetic and noncentrosymmetric Weyl fermion semimetals in the R AlGe family of compounds ( R = rare earth ) journal January 2018
Rotational strain in Weyl semimetals: A continuum approach journal May 2018
Planar Hall effect in the Weyl semimetal GdPtBi journal July 2018
Planar Hall effect in the type-II Weyl semimetal T d − MoT e 2 journal July 2018
Giant planar Hall effect in the Dirac semimetal ZrT e 5 − δ journal September 2018
Linear magnetochiral transport in tilted type-I and type-II Weyl semimetals journal February 2019
Planar Hall effect in tilted Weyl semimetals journal March 2019
Chiral magnetic effect journal October 2008
Weyl Semimetal in a Topological Insulator Multilayer journal September 2011
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal October 2011
Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals journal December 2014
Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials journal November 2015
MoTe 2 : A Type-II Weyl Topological Metal journal July 2016
Chiral Weyl Pockets and Fermi Surface Topology of the Weyl Semimetal TaAs journal September 2016
Chiral Anomaly as the Origin of the Planar Hall Effect in Weyl Semimetals journal October 2017
Band Signatures for Strong Nonlinear Hall Effect in Bilayer WTe 2 journal December 2018
Nonlinear Planar Hall Effect journal July 2019
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides journal March 2015
Experimental Discovery of Weyl Semimetal TaAs journal July 2015
Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs journal August 2015
Berry phase effects on electronic properties journal July 2010
Discovery of Lorentz-violating type II Weyl fermions in LaAlGe journal June 2017
Discovery of a Weyl fermion semimetal and topological Fermi arcs journal July 2015

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