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Title: Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly

Abstract

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.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [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)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1765457
Grant/Contract Number:  
AC02-06CH11357; AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 103; Journal Issue: 4; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Hall effect; topological materials; Weyl semimetal

Citation Formats

Li, Rui-Hao, Heinonen, Olle G., Burkov, Anton A., and Zhang, Steven S.-L. Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly. United States: N. p., 2021. Web. doi:10.1103/physrevb.103.045105.
Li, Rui-Hao, Heinonen, Olle G., Burkov, Anton A., & Zhang, Steven S.-L. Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly. United States. https://doi.org/10.1103/physrevb.103.045105
Li, Rui-Hao, Heinonen, Olle G., Burkov, Anton A., and Zhang, Steven S.-L. Tue . "Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly". United States. https://doi.org/10.1103/physrevb.103.045105. https://www.osti.gov/servlets/purl/1765457.
@article{osti_1765457,
title = {Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly},
author = {Li, Rui-Hao and Heinonen, Olle G. and Burkov, Anton A. and Zhang, Steven S.-L.},
abstractNote = {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.},
doi = {10.1103/physrevb.103.045105},
journal = {Physical Review B},
number = 4,
volume = 103,
place = {United States},
year = {Tue Jan 05 00:00:00 EST 2021},
month = {Tue Jan 05 00:00:00 EST 2021}
}

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