3D-2D crossover and phase shift of beats of quantum oscillations of interlayer magnetoresistance in quasi-2D metals

TL;DR

This paper develops a theoretical framework to explain the phase shift and amplitude changes of quantum oscillations in quasi-2D metals, aligning with experimental observations of 3D-2D crossover effects.

Contribution

It provides a new theoretical explanation for the phase shift and amplitude behavior of MQO during the 3D-2D crossover in Q2D metals, using the Kubo formula and self-consistent Born approximation.

Findings

The phase shift of MQO beats can reach π/2 under certain conditions.

The phase inversion occurs during the 3D-2D crossover.

The relative MQO amplitude decreases in strong magnetic fields beyond the beat frequency.

Abstract

Magnetic quantum oscillations (MQO) are traditionally applied to investigate the electronic structure of metals. In layered quasi-two-dimensional (Q2D) materials the MQO have several qualitative features giving additional useful information, provided their theoretical description is developed. Within the framework of the Kubo formula and the self-consistent Born approximation, we reconsider the phase of beats in the amplitude of Shubnikov oscillations of interlayer conductivity in Q2D metals. We show that the phase shift of beats of the Shubnikov (conductivity) oscillations relative to the de Haas - van Alphen (magnetization) oscillations is larger than expected previously and, under certain conditions, can reach the value of $\pi/2$, as observed experimentally. We explain the phase inversion of MQO during the 3D - 2D crossover and predict the decrease of relative MQO amplitude of interlayer magnetoresistance in a strong magnetic field, larger than the beat frequency.