Gyrotropic Hall effect in Berry-curved materials

König, E. J.; Dzero, M.; Levchenko, A.; Pesin, D. A.

doi:10.1103/PhysRevB.99.155404

Title: Gyrotropic Hall effect in Berry-curved materials

Journal Article · Thu Apr 04 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.155404· OSTI ID:1509642

^[1]; Dzero, M. ^[2]; Levchenko, A. ^[3]; Pesin, D. A. ^[4]

Rutgers Univ., Piscataway, NJ (United States)
Kent State Univ., Kent, OH (United States)
Univ. of Wisconsin, Madison, WI (United States)
Univ. of Utah, Salt Lake City, UT (United States); Univ. of Virginia, Charlottesville, VA (United States)

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.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-99ER45790; SC0016481

OSTI ID:: 1509642

Alternate ID(s):: OSTI ID: 1505008

Journal Information:: Physical Review B, Vol. 99, Issue 15; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 37 works

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Disorder-induced nonlinear Hall effect with time-reversal symmetry Du, Z. Z.; Wang, C. M.; Li, Shuai arXiv https://doi.org/10.48550/arxiv.1812.08377	text	January 2018
Scaling parameters in anomalous and nonlinear Hall effects depend on temperature Xiao, Cong; Zhou, Hailong; Niu, Qian arXiv https://doi.org/10.48550/arxiv.1903.00810	text	January 2019
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