Hall effect and inter-chain magneto-optical properties of coupled Luttinger liquids

Abstract

We consider the Hall effect in a system of weakly coupled Luttinger chains. We obtain the full conductivity tensor in the absence of dissipation along the chains. We show that while the dependence of the Hall and transverse conductivities on temperature and frequency are affected by the Luttinger interaction very strongly, the Hall resistivity is given by a simple formula corresponding to the noninteracting fermions. We compute the frequency, temperature and field dependence of the transverse conductivity. Consequences for the quasi-one-dimensional organic conductors are discussed.

12 pages, 5 figures

References in corpus (3)

• Interchain conductivity of coupled Luttinger liquids and organic conductors
• Hall effect and conduction anisotropy in the organic conductor TMTSF2PF6
• Magnetooptical sum rules close to the Mott transition

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