Hall effect on the triangular lattice

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 $1/q{n}^{\ast }$ 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.

11 pages, 10 figures

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Cited by in corpus (7)

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• Electronic and magnetic properties of the ionic Hubbard model on the striped triangular lattice at 3/4 filling
• Hall response of locally correlated two-dimensional electrons at low density
• Hall effect evidence for an interplay between electronic correlations and Na order induced electronic bands topology in NaxCoO2
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Universal low-density power laws of the dc conductivity and Hall constant in the self-consistent Born approximation