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Title: Effect of Berry phase on nonlinear response of two-dimensional fermions

Abstract

We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φ n = n π , n = 1 , 2 , ... . In particular, we find that owing to the suppression of backscattering at odd n , Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even n : Their amplitude decays with the electric field and their extrema are phase shifted by a quarter cycle. The theory unifies the cases of graphene ( n = 1 ) and graphite bilayer ( n = 2 ) with the case of conventional 2D electron gas ( n = 0 ) and suggests another method to probe backscattering in topological 2D systems.

Authors:
ORCiD logo;
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1644131
Alternate Identifier(s):
OSTI ID: 1656818
Grant/Contract Number:  
SC0002567
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 2 Journal Issue: 2; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Raichev, O. E., and Zudov, M. A. Effect of Berry phase on nonlinear response of two-dimensional fermions. United States: N. p., 2020. Web. doi:10.1103/PhysRevResearch.2.022011.
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Raichev, O. E., & Zudov, M. A. Effect of Berry phase on nonlinear response of two-dimensional fermions. United States. https://doi.org/10.1103/PhysRevResearch.2.022011
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Raichev, O. E., and Zudov, M. A. Mon . "Effect of Berry phase on nonlinear response of two-dimensional fermions". United States. https://doi.org/10.1103/PhysRevResearch.2.022011.
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@article{osti_1644131,
title = {Effect of Berry phase on nonlinear response of two-dimensional fermions},
author = {Raichev, O. E. and Zudov, M. A.},
abstractNote = {We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φn=nπ,n=1,2,.... In particular, we find that owing to the suppression of backscattering at odd n, Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even n: Their amplitude decays with the electric field and their extrema are phase shifted by a quarter cycle. The theory unifies the cases of graphene (n=1) and graphite bilayer (n=2) with the case of conventional 2D electron gas (n=0) and suggests another method to probe backscattering in topological 2D systems.},
doi = {10.1103/PhysRevResearch.2.022011},
journal = {Physical Review Research},
number = 2,
volume = 2,
place = {United States},
year = {Mon Apr 13 00:00:00 EDT 2020},
month = {Mon Apr 13 00:00:00 EDT 2020}
}
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevResearch.2.022011
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