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We investigate the Hall effect in two different theoretical models ofstrongly correlated systems: a system made of weakly coupled Luttinger liquids,in the presence of umklapp scattering, and the 2D triangular lattice, withnearest-neighbor hopping and a local Hubbard interaction. In the first model weuse a memory function approach to compute the Hall coefficient as a function oftemperature and frequency in the presence of umklapp scattering. We find apower-law correction to the free-fermion value (band value), with an exponentdepending on the Luttinger parameter $K_{\rho}$. At sufficiently hightemperature or frequency the Hall coefficient approaches the band value. Wediscuss the applications to Hall experiments made in quasi 1D organiccompounds. In the second model, the complete temperature and dopingdependencies of the high-frequency Hall coefficient $\RH$ are evaluatedanalytically and numerically for small, intermediate, and strong interactionsusing various approximation schemes. We find that $\RH$ follows thesemiclassical $1/qn^*$ law near T=0, but exhibits a striking $T$-linearbehavior with an interaction- and doping-dependent slope at high temperature.We compare our results with Hall measurements performed in cobaltates.

Study of the Hall effect in two different strongly correlated fermion systems