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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)
OSTI Identifier:
1509642
Alternate Identifier(s):
OSTI ID: 1505008
Grant/Contract Number:  
FG02-99ER45790; SC0016481
Resource Type:
Journal Article: 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. https://doi.org/10.1103/PhysRevB.99.155404
König, E. J., Dzero, M., Levchenko, A., and Pesin, D. A. 2019. "Gyrotropic Hall effect in Berry-curved materials". United States. https://doi.org/10.1103/PhysRevB.99.155404. https://www.osti.gov/servlets/purl/1509642.
@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},
url = {https://www.osti.gov/biblio/1509642}, journal = {Physical Review B},
issn = {2469-9950},
number = 15,
volume = 99,
place = {United States},
year = {Thu Apr 04 00:00:00 EDT 2019},
month = {Thu Apr 04 00:00:00 EDT 2019}
}

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Cited by: 37 works
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Works referenced in this record:

Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
journal, February 2006


Photocurrents in Weyl semimetals
journal, January 2017


Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018


Orbital Edelstein Effect as a Condensed-Matter Analog of Solenoids
journal, January 2018


Semiclassical theories of the anomalous Hall effect
journal, December 2007


Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982


When Chiral Photons Meet Chiral Fermions: Photoinduced Anomalous Hall Effects in Weyl Semimetals
journal, January 2016


Nonlinear anomalous Hall effect in few-layer WTe2
journal, February 2019


Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
journal, December 2016


Floquet topological insulator in semiconductor quantum wells
journal, March 2011


Observation of the nonlinear Hall effect under time-reversal-symmetric conditions
journal, December 2018


Quantized Hall conductance as a topological invariant
journal, March 1985


Colloquium: Topological insulators
journal, November 2010


Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
journal, January 2019


Room-temperature chiral charge pumping in Dirac semimetals
journal, January 2017


Anomalous Hall effect on the surface of topological Kondo insulators
journal, July 2016


Valley magnetoelectricity in single-layer MoS2
journal, July 2017


Controllable optical activity with non-chiral plasmonic metasurfaces
journal, February 2016


Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs
journal, October 2018


Emergent phenomena at oxide interfaces
journal, January 2012


Controllable Optical Activity of Gold Nanorod and Chiral Quantum Dot Assemblies
journal, November 2013


Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017


Anomalous Hall effect with massive Dirac fermions
journal, August 2015


Topological nature of nonlinear optical effects in solids
journal, May 2016


Theory of the Faraday and Kerr Effects in Ferromagnetics
journal, January 1955


Current-induced spin polarization of holes in tellurium
journal, December 2012


The spontaneous hall effect in ferromagnetics I
journal, January 1955


Strongly Enhanced Berry Dipole at Topological Phase Transitions in BiTeI
journal, December 2018


Chiral degeneracies and Fermi-surface Chern numbers in bcc Fe
journal, August 2015


On the search for the chiral anomaly in Weyl semimetals: the negative longitudinal magnetoresistance
journal, August 2016


Surface magneto-optic Kerr effect
journal, March 2000


New electro-optical and magneto-optical effects in liquids
journal, October 1977


Berry phase effects on electronic properties
journal, July 2010


Anomalous Hall effect
journal, May 2010


Quantum diagrammatic theory of the extrinsic spin Hall effect in graphene
journal, October 2016


The photogalvanic effect in media lacking a center of symmetry
journal, March 1980


Controllable Optical Activity of Gold Nanorod and Chiral Quantum Dot Assemblies
journal, November 2013


Twisting the thermoelectric potential
journal, January 2021


New electro-optical and magneto-optical effects in liquids [Novye elektroopticheskie i magnitoopticheskie effekty v zhidkosti]
journal, January 1977


Anomalous Hall effect with massive Dirac fermions
text, January 2015


Photocurrents in Weyl semimetals
text, January 2016


Weyl and Dirac Semimetals in Three Dimensional Solids
text, January 2017


Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
text, January 2018


Works referencing / citing this record:

Disorder-induced nonlinear Hall effect with time-reversal symmetry
journal, July 2019


Scaling parameters in anomalous and nonlinear Hall effects depend on temperature
journal, October 2019


Nonlinear Nernst effect in bilayer WTe 2
journal, December 2019


Current-Induced Gap Opening in Interacting Topological Insulator Surfaces
journal, December 2019


Difference frequency generation in topological semimetals
text, January 2019