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Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

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posted on 2019-10-15, 08:45 authored by Mark GreenawayMark Greenaway, R Krishna Kumar, P Kumaravadivel, A.K. Geim, L Eaves
Recently observed magnetophonon resonances in the magnetoresistance of graphene are investigated using the Kubo formalism. This analysis provides a quantitative fit to the magnetophonon resonances over a wide range of carrier densities. It demonstrates the predominance of carrier scattering by low-energy transverse acoustic (TA) mode phonons: the magnetophonon resonance amplitude is significantly stronger for the TA modes than for the longitudinal acoustic (LA) modes. We demonstrate that the LA and TA phonon speeds and the electron-phonon coupling strengths determined from the magnetophonon resonance measurements also provide an excellent fit to the measured dependence of the resistivity at zero magnetic field over a temperature range of 4–150 K. A semiclassical description of magnetophonon resonance in graphene is shown to provide a simple physical explanation for the dependence of the magneto-oscillation period on carrier density. The correspondence between the quantum calculation and the semiclassical model is discussed.

Funding

Engineering and Physical Sciences Research Council (EPSRC),

Graphene Flagship

the Royal Society

Lloyd’s Register Foundation

History

School

  • Science

Department

  • Physics

Published in

Physical Review B

Volume

100

Publisher

American Physical Society (APS)

Version

  • VoR (Version of Record)

Rights holder

© the 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.100.155120

Publication date

2019-10-10

Copyright date

2019

ISSN

2469-9950

eISSN

2469-9969

Language

  • en

Depositor

Dr Mark Greenaway

Article number

155120

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