Hall effect in quasi one-dimensional organic conductors

Abstract

We study the Hall effect in a system of weakly coupled Luttinger Liquid chains, using a Memory function approach to compute the Hall constant in the presence of umklapp scattering along the chains. In this approximation, the Hall constant decomposes into two terms: a high-frequency term and a Memory function term. For the case of zero umklapp scattering, where the Memory function vanishes, the Hall constant is simply the band value, in agreement with former results in a similar model with no dissipation along the chains. With umklapp scattering along the chains, we find a power-law temperature dependance of the Hall constant. We discuss the applications to quasi 1D organic conductors at high temperatures.

Proceedings of the ISCOM conference "Sixth International Symposium on Crystalline Organic Metals, Superconductors, and Ferromagnets", Key West, Florida, USA (Sept. 2005), to be plublished in the Journal of Low Temperature Physics

Cited by in corpus (5)

• Hall effect in strongly correlated low dimensional systems
• Hall effect on the triangular lattice
• From Luttinger to Fermi liquids in organic conductors
• Hall response of locally correlated two-dimensional electrons at low density
• Universal low-density power laws of the dc conductivity and Hall constant in the self-consistent Born approximation