Anisotropic conductivity tensor on a half-filled high Landau level

2004/05/08 by I. S. Burmistrov
Materials Science · Physics and Astronomy · #Graphene research and applications #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.71.035331

published as Phys. Rev. B 71, 035331 (2005) · RevTeX, 13 pages, 6 figures

arxiv created 2004/05/08 · openalex publication_date 2005/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study two-dimensional interacting electrons in a weak perpendicular magnetic field with the filling factor \ensuremathν⪢1 and in the presence of a quenched disorder. As it is known, the unidirectional charge density wave state can exist near a half-filled high Landau level at low temperatures if disorder is weak enough. We show that the existence of the unidirectional charge density wave state at temperature T<T_c where T_c is the transition temperature leads to the anisotropic conductivity tensor. We find that the anisotropic part of conductivity tensor is proportional to (T_c\ensuremath-T)∕T_c below the transition. The order parameter fluctuations wash out the mean-field cusp at T=T_c and the conductivity tensor becomes anisotropic even above the mean-field transition temperature T_c.

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