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arXiv · 0804.1062

Hall effect on the triangular lattice

Gladys León·Christophe Berthod·Thierry Giamarchi·Andrew Millis
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Abstract

We investigate the high frequency Hall effect on a two-dimensional triangular lattice with nearest-neighbor hopping and a local Hubbard interaction. The complete temperature and doping dependencies of the high-frequency Hall coefficient $R_H$ are evaluated analytically and numerically for small, intermediate, and strong interactions using various approximation schemes. We find that $R_H$ follows the semiclassical $1/qn^*$ law near T=0, but exhibits a striking $T$-linear behavior with an interaction- and doping-dependent slope at high temperature. We compare our results with previous theories as well as Hall measurements performed in the cobaltates.

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Gladys León, Christophe Berthod, Thierry Giamarchi, Andrew Millis. 2008-04-07. Hall effect on the triangular lattice. https://doi.org/10.1103/physrevb.78.085105

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