Unusual field and temperature dependence of the Hall effect in graphene

L. A. Falkovsky
Phys. Rev. B 75, 033409 – Published 23 January 2007

Abstract

We calculate the classic Hall conductivity and mobility of the undoped and doped (or at the gate voltage) graphene as a function of temperature, magnetic field, and carrier concentration. Carrier collisions with defects and acoustic phonons are taken into account. The Hall resistivity varies almost linearly with temperature below the Debye temperature. The magnetic-field dependence of resistivity and mobility is anomalous in weak fields at low gate voltage: there is a square-root field contribution in the resistivity and the Hall mobility diverges logarithmically with the field.

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  • Received 10 November 2006

DOI:https://doi.org/10.1103/PhysRevB.75.033409

©2007 American Physical Society

Authors & Affiliations

L. A. Falkovsky

  • L.D. Landau Institute for Theoretical Physics, Moscow 117334, Russia and Institute of the High Pressure Physics, Troitsk 142190, Russia

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Issue

Vol. 75, Iss. 3 — 15 January 2007

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