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Phys. Rev. B 78, 085105 (2008) [11 pages]

Hall effect on the triangular lattice

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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

Received 8 April 2008; published 6 August 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.085105
DOI:
10.1103/PhysRevB.78.085105
PACS:
71.27.+a, 71.18.+y, 72.15.Gd