Hall effect in strongly correlated low dimensional systems

Details Hall effect in strongly correlated low dimensional systems Hall effect in strongly correlated low dimensional systems

2006-08-18

arxiv.org/abs/cond-mat/0608427v2

Phys. Rev. B 75, 195123 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.75.195123

We investigate the Hall effect in a quasi one-dimensional system made of weakly coupled Luttinger Liquids at half filling. Using a memory function approach, we compute the Hall coefficient as a function of temperature and frequency in the presence of umklapp scattering. We find a power-law correction to the free-fermion value (band value), with an exponent depending on the Luttinger parameter $K_{\rho}$. At high enough temperature or frequency the Hall coefficient approaches the band value.

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