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Hall effect in strongly correlated low dimensional systems

G. León·C. Berthod·T. Giamarchi
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Abstract

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 $K_ρ$. At high enough temperature or frequency the Hall coefficient approaches the band value.

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G. León, C. Berthod, T. Giamarchi. 2007-03-28. Hall effect in strongly correlated low dimensional systems. https://doi.org/10.1103/physrevb.75.195123

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