Hall effect and interchain magnetooptical 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 quasionedimensional organic conductors are discussed.
 Publication:

Physical Review B
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevB.63.075109
 arXiv:
 arXiv:condmat/0008066
 Bibcode:
 2001PhRvB..63g5109L
 Keywords:

 71.10.Pm;
 71.10.Hf;
 72.80.r;
 72.80.Le;
 Fermions in reduced dimensions;
 NonFermiliquid ground states electron phase diagrams and phase transitions in model systems;
 Conductivity of specific materials;
 Polymers;
 organic compounds;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 12 pages, 5 figures