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

Abstract

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.

arXiv comment4 pages, 4 figures

References in corpus (3)

• Angle Dependent Magnetoresistance of the Layered Organic Superconductor κ-(ET)2Cu(NCS)2: Simulation and Experiment
• Angle-dependent magnetoresistance oscillations due to magnetic breakdown orbits
• An analytically solvable model of the effect of magnetic breakdown on angle-dependent magnetoresistance in a quasi-two-dimensional metal

Cited by in corpus (3)

• Modelling the angle-dependent magnetoresistance oscillations of Fermi surfaces with hexagonal symmetry
• Studying angle-dependent magnetoresistance oscillations of cuprate superconductors in a model with antiferromagnetic reconstruction and magnetic breakdown
• Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa${}_2$CuO${}_{4+\delta }$