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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:
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. 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},
journal = {Physical Review B},
number = 15,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

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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


Kinetic orbital moments and nonlocal transport in disordered metals with nontrivial band geometry
journal, July 2017


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

  • Wu, Liang; Patankar, S.; Morimoto, T.
  • Nature Physics, Vol. 13, Issue 4
  • DOI: 10.1038/nphys3969

Floquet topological insulator in semiconductor quantum wells
journal, March 2011

  • Lindner, Netanel H.; Refael, Gil; Galitski, Victor
  • Nature Physics, Vol. 7, Issue 6
  • DOI: 10.1038/nphys1926

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

  • Zhang, Cheng; Zhang, Enze; Wang, Weiyi
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13741

Second-order optical response in semiconductors
journal, February 2000


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


Valley magnetoelectricity in single-layer MoS2
journal, July 2017

  • Lee, Jieun; Wang, Zefang; Xie, Hongchao
  • Nature Materials, Vol. 16, Issue 9
  • DOI: 10.1038/nmat4931

Anomalous Hall effect in a two-dimensional Dirac band: The link between the Kubo-Streda formula and the semiclassical Boltzmann equation approach
journal, January 2007


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

  • Yu, Ping; Li, Jianxiong; Tang, Chengchun
  • Light: Science & Applications, Vol. 5, Issue 7
  • DOI: 10.1038/lsa.2016.96

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


Emergent phenomena at oxide interfaces
journal, January 2012

  • Hwang, H. Y.; Iwasa, Y.; Kawasaki, M.
  • Nature Materials, Vol. 11, Issue 2
  • DOI: 10.1038/nmat3223

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

  • Zhu, Zhening; Guo, Jun; Liu, Wenjing
  • Angewandte Chemie International Edition, Vol. 52, Issue 51
  • DOI: 10.1002/anie.201305389

Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017

  • de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15995

Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
journal, November 2015


Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
journal, December 2011


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

  • Shalygin, V. A.; Sofronov, A. N.; Vorob’ev, L. E.
  • Physics of the Solid State, Vol. 54, Issue 12
  • DOI: 10.1134/S1063783412120281

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

  • Qiu, Z. Q.; Bader, S. D.
  • Review of Scientific Instruments, Vol. 71, Issue 3
  • DOI: 10.1063/1.1150496

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


    Works referencing / citing this record:

    Disorder-induced nonlinear Hall effect with time-reversal symmetry
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    Scaling parameters in anomalous and nonlinear Hall effects depend on temperature
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    Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics
    journal, October 2019


    Symmetry and quantum kinetics of the nonlinear Hall effect
    journal, November 2019


    Nonlinear Nernst effect in bilayer WTe 2
    journal, December 2019


    Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule
    journal, December 2019


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


    Difference frequency generation in topological semimetals
    journal, January 2020