An analytical treatment of in-plane magnetotransport in the Falicov-Sievert model

Details An analytical treatment of in-plane magnetotransport in the Falicov-Sievert model An analytical treatment of in-plane magnetotransport in the Falicov-Sievert model

2010-09-13

arxiv.org/abs/1009.2494v1

Phys. Rev. B 82, 075121 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.075121

We derive an analytical expression which allows efficient computation of the effect of all the Fermi surface trajectories induced by a combination of Bragg scattering and magnetic breakdown on the in-plane components of the resistivity tensor. The particular network of coupled orbits which we consider was first formulated by Falicov and Sievert, who studied the problem numerically. Our approach, based upon a method used previously to derive an analytical solution for interlayer transport, allows us to show that the conductivity tensor can be written as a sum of a matrix representing the effect of total magnetic breakdown and one representing a combination of complex electronic trajectories, and we find a compact expression for the in-plane components of the resistivity tensor that can be evaluated straightforwardly.

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