Hall effect on the triangular lattice

G. León, C. Berthod, T. Giamarchi, and A. J. Millis
Phys. Rev. B 78, 085105 – Published 6 August 2008

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 RH are evaluated analytically and numerically for small, intermediate, and strong interactions using various approximation schemes. We find that RH 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 cobaltates.

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  • Received 8 April 2008

DOI:https://doi.org/10.1103/PhysRevB.78.085105

©2008 American Physical Society

Authors & Affiliations

G. León, C. Berthod, and T. Giamarchi

  • DPMC-MaNEP, University of Geneva, 24 Quai Ernest-Ansermet, 1211 Geneva 4, Switzerland

A. J. Millis

  • Physics Department, Columbia University, 538 West 120th Street, New York, New York 10027, USA

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Issue

Vol. 78, Iss. 8 — 15 August 2008

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