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Semiclassical transport with Berry curvature: Chambers formula and applications to systems with Fermi surface topological transitions

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journal contribution
posted on 20.04.2022, 13:05 authored by Emmanouil K Kokkinis, Garry Goldstein, Dmitri V Efremov, Joseph BetourasJoseph Betouras

Starting with general semiclassical equations of motion for electrons in the presence of electric and magnetic fields, we extend the Chambers formula to include in addition to a magnetic field, timedependent electric fields and bands with Berry curvature. We thereby compute the conductivity tensor σαβ (B, ω) in the presence of magnetic field for bands in two (2D) and three (3D) dimensions with Berry curvature. We focus then on several applications to magnetotransport for metals with Fermi surface topological transitions in 2D. In particular, we consider a rectangular lattice and a model related to overdoped graphene, to investigate the signatures of different types of Fermi surface topological transitions in metals in the Hall coefficient, Hall conductivity σxy and longitudinal conductivity σxx. The behavior of those quantities as a function of frequency, when the electric field is time dependent, is also investigated. As an example of non-zero Berry curvature, we study the magnetotransport of the Haldane model within this context. In addition, we provide the linear and nonlinear electric current formula to order E2.

Funding

Controlling unconventional properties of correlated materials by Fermi surface topological transitions and deformations.

Engineering and Physical Sciences Research Council

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Designing and exploring new quantum materials based on Fermi surface topological transitions

Engineering and Physical Sciences Research Council

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RSF-DFG grant 405940956

History

School

  • Science

Department

  • Physics

Published in

Physical Review B

Volume

105

Issue

15

Publisher

American Physical Society

Version

AM (Accepted Manuscript)

Rights holder

© American Physical Society

Publisher statement

This paper was accepted for publication in the journal Physical Review B and the definitive published version is available at https://doi.org/10.1103/physrevb.105.155123.

Acceptance date

04/04/2022

Publication date

2022-04-14

Copyright date

2022

ISSN

2469-9950

eISSN

2469-9969

Language

en

Depositor

Prof Joseph Betouras. Deposit date: 15 April 2022

Article number

155123