Magnetic quantum oscillations of in-plane Hall conductivity and magnetoresistance tensor in quasi-two-dimensional metals

TL;DR

This paper develops a theoretical framework to analyze magnetoresistance oscillations in layered quasi-2D metals, providing analytical expressions for oscillation amplitudes and phases considering various physical parameters.

Contribution

The study introduces a comprehensive theoretical model for MQO and SO in quasi-2D metals, including detailed expressions for oscillation characteristics as functions of multiple parameters.

Findings

Derived analytical formulas for MQO and SO amplitudes and phases.

Analyzed the effects of temperature and inhomogeneities on oscillation averaging.

Provided insights useful for interpreting experimental magnetoresistance data.

Abstract

We develop the theory of magnetoresistance oscillations in layered quasi-two-dimensional (quasi-2D) metals. Using the Kubo-Streda formula, we calculate the Hall intralayer conductivity in a magnetic field perpendicular to conducting layers. The analytical expressions for the amplitudes and phases of magnetic quantum oscillations (MQO) and of the difference or the so-called slow oscillations (SO) are derived as a function of several parameters: magnetic field strength, interlayer transfer integral, temperature, and the electron mean-free time. We calculate the quantum oscillations of the magnetoresistance tensor, because the magnetoresistance rather than conductivity is usually measured. We also discuss the averaging of magnetoresistance oscillations over MQO period due to finite temperature and long-range sample inhomogeneities. The results obtained are useful to analyze experimental data on magnetoresistance oscillations in various quasi-2D metals.