Comment on "Magnetic quantum oscillations of the conductivity in layered conductors"

Abstract

We discuss the recent theory of Gvozdikov [Phys. Rev. B 70, 085113 (2004)] which aims at explaining the Shubnikov-de Haas oscillations of the longitudinal resistivity zz observed in the quasi-two-dimensional organic compound β''-(BEDT-TTF)2SF5CH2CF2SO3. We point out that the self-consistent equations of the theory yielding the longitudinal resistivity and the magnetic field dependence of the chemical potential have been incorrectly solved. We show that the consideration of the self-consistent Born approximation (which determines the relaxation rate in Gvozdikov's paper) leads in fact to the complete absence of the longitudinal conductivity σzz at leading order in high magnetic fields.

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