Hall effect on the triangular lattice

Details Hall effect on the triangular lattice Hall effect on the triangular lattice

2008-04-07

arxiv.org/abs/0804.1062v1

Physical Review B 78, 085105 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 10 figures

Scientific paper

10.1103/PhysRevB.78.085105

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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