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

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

2000-08-03

arxiv.org/abs/cond-mat/0008066v1

Phys. Rev. B 63, 075109 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 5 figures

Scientific paper

10.1103/PhysRevB.63.075109

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.

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