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Title: Gyrotropic Hall effect in Berry-curved materials

Abstract

We study the ac Hall response induced by passage of dc transport current in two- and three-dimensional metals with gyrotropic point groups—the gyrotropic Hall effect—and consider the phenomenon of current-induced optical activity in noncentrosymmetric metals as a physical application of our theory. While the effect is expected to be present in single crystals of any noncentrosymmetric metal, we expect it to be strongest in enantiomorphic Weyl semimetals. Using the semiclassical kinetic equation approach, we present several mechanisms underlying the gyrotropic Hall effect. Amongst them, the intrinsic mechanism is determined by the Berry curvature dipole, while extrinsic impurity-induced processes are related to skew scattering and side-jump phenomena. In general, the intrinsic and extrinsic contributions can be of similar magnitude. We discuss the gyrotropic Hall effect for all frequencies of practical interest, from the dc transport limit, to optical frequencies. We show that for frequencies that are small compared to relevant band splittings, the trace of the gyrotropic Hall tensor in three-dimensional materials is proportional to a topological, quantized Berry charge, and therefore is robust in gyrotropic Weyl systems. This implies that polycrystals of strongly gyrotropic Weyl semimetals will demonstrate strong current-induced optical activity, whereas the response vanishes for polycrystalline ordinary metals.more » Furthermore the current-induced optical activity can be considered a valuable tool in identifying the topological nature of a material.« less

Authors:
ORCiD logo [1];  [2];  [3];  [4]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Kent State Univ., Kent, OH (United States)
  3. Univ. of Wisconsin, Madison, WI (United States)
  4. Univ. of Utah, Salt Lake City, UT (United States); Univ. of Virginia, Charlottesville, VA (United States)
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1509642
Alternate Identifier(s):
OSTI ID: 1505008
Grant/Contract Number:  
FG02-99ER45790; SC0016481
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 77 NANOSCIENCE AND NANOTECHNOLOGY

Citation Formats

König, E. J., Dzero, M., Levchenko, A., and Pesin, D. A.. Gyrotropic Hall effect in Berry-curved materials. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.155404.
König, E. J., Dzero, M., Levchenko, A., & Pesin, D. A.. Gyrotropic Hall effect in Berry-curved materials. United States. doi:10.1103/PhysRevB.99.155404.
König, E. J., Dzero, M., Levchenko, A., and Pesin, D. A.. Thu . "Gyrotropic Hall effect in Berry-curved materials". United States. doi:10.1103/PhysRevB.99.155404.
@article{osti_1509642,
title = {Gyrotropic Hall effect in Berry-curved materials},
author = {König, E. J. and Dzero, M. and Levchenko, A. and Pesin, D. A.},
abstractNote = {We study the ac Hall response induced by passage of dc transport current in two- and three-dimensional metals with gyrotropic point groups—the gyrotropic Hall effect—and consider the phenomenon of current-induced optical activity in noncentrosymmetric metals as a physical application of our theory. While the effect is expected to be present in single crystals of any noncentrosymmetric metal, we expect it to be strongest in enantiomorphic Weyl semimetals. Using the semiclassical kinetic equation approach, we present several mechanisms underlying the gyrotropic Hall effect. Amongst them, the intrinsic mechanism is determined by the Berry curvature dipole, while extrinsic impurity-induced processes are related to skew scattering and side-jump phenomena. In general, the intrinsic and extrinsic contributions can be of similar magnitude. We discuss the gyrotropic Hall effect for all frequencies of practical interest, from the dc transport limit, to optical frequencies. We show that for frequencies that are small compared to relevant band splittings, the trace of the gyrotropic Hall tensor in three-dimensional materials is proportional to a topological, quantized Berry charge, and therefore is robust in gyrotropic Weyl systems. This implies that polycrystals of strongly gyrotropic Weyl semimetals will demonstrate strong current-induced optical activity, whereas the response vanishes for polycrystalline ordinary metals. Furthermore the current-induced optical activity can be considered a valuable tool in identifying the topological nature of a material.},
doi = {10.1103/PhysRevB.99.155404},
journal = {Physical Review B},
number = 15,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

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Works referenced in this record:

Colloquium: Topological insulators
journal, November 2010