Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
Abstract
It is well known that a nonvanishing Hall conductivity requires broken time-reversal symmetry. However, we demonstrate that Hall-like currents can occur in second-order response to external electric fields in a wide class of time-reversal invariant and inversion breaking materials, at both zero and twice the driving frequency. This nonlinear Hall effect has a quantum origin arising from the dipole moment of the Berry curvature in momentum space, which generates a net anomalous velocity when the system is in a current-carrying state. The nonlinear Hall coefficient is a rank-two pseudotensor, whose form is determined by point group symmetry. We discus optimal conditions to observe this effect and propose candidate two- and three-dimensional materials, including topological crystalline insulators, transition metal dichalcogenides, and Weyl semimetals.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1505736
- Alternate Identifier(s):
- OSTI ID: 1226665
- Grant/Contract Number:
- SC0010526
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 21; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum Hall effect; Rashba coupling; topological insulators; Weyl fermions; dichalcogenides
Citation Formats
Sodemann, Inti, and Fu, Liang. Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials. United States: N. p., 2015.
Web. doi:10.1103/physrevlett.115.216806.
Sodemann, Inti, & Fu, Liang. Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials. United States. https://doi.org/10.1103/physrevlett.115.216806
Sodemann, Inti, and Fu, Liang. Fri .
"Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials". United States. https://doi.org/10.1103/physrevlett.115.216806. https://www.osti.gov/servlets/purl/1505736.
@article{osti_1505736,
title = {Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials},
author = {Sodemann, Inti and Fu, Liang},
abstractNote = {It is well known that a nonvanishing Hall conductivity requires broken time-reversal symmetry. However, we demonstrate that Hall-like currents can occur in second-order response to external electric fields in a wide class of time-reversal invariant and inversion breaking materials, at both zero and twice the driving frequency. This nonlinear Hall effect has a quantum origin arising from the dipole moment of the Berry curvature in momentum space, which generates a net anomalous velocity when the system is in a current-carrying state. The nonlinear Hall coefficient is a rank-two pseudotensor, whose form is determined by point group symmetry. We discus optimal conditions to observe this effect and propose candidate two- and three-dimensional materials, including topological crystalline insulators, transition metal dichalcogenides, and Weyl semimetals.},
doi = {10.1103/physrevlett.115.216806},
journal = {Physical Review Letters},
number = 21,
volume = 115,
place = {United States},
year = {Fri Nov 20 00:00:00 EST 2015},
month = {Fri Nov 20 00:00:00 EST 2015}
}
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FIG. 1: Berry curvature dipole dependence on chemical potential μ. Upper inset: Surface Brillouin zone of TCI SnTe or (Pb,Sn)Se. The blue arrow indicates the direction of the ferroelectric distortion. Lower inset: Brillouin zone of monolayer TMDC. Dirac points are shifted away from K and K' by shear strain alongmore »
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