Effect of Disorder on Transport in Graphene

I. L. Aleiner and K. B. Efetov
Phys. Rev. Lett. 97, 236801 – Published 4 December 2006

Abstract

Quenched disorder in graphene is characterized by 5 constants and experiences the logarithmic renormalization even from the spatial scales smaller than the Fermi wavelength. We derive and solve renormalization group equations (RGEs) describing the system at such scales. At larger scales, we derive a nonlinear supermatrix σ model completely describing localization and crossovers between different ensembles. The parameters of this σ model are determined by the solutions of the RGEs.

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  • Received 7 July 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.236801

©2006 American Physical Society

Authors & Affiliations

I. L. Aleiner1 and K. B. Efetov1,2,3

  • 1Physics Department, Columbia University, New York, New York 10027, USA
  • 2Theoretische Physik III, Ruhr-Universität Bochum, 44780 Bochum, Germany
  • 3L. D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia

See Also

Low-Energy Theory of Disordered Graphene

Alexander Altland
Phys. Rev. Lett. 97, 236802 (2006)

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Issue

Vol. 97, Iss. 23 — 8 December 2006

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