Angular dependence of magnetoresistance and Fermi-surface shape in quasi-2D metals

TL;DR

This paper develops analytical formulas for the angular dependence of magnetoresistance and Fermi-surface shape in quasi-2D metals, improving interpretation of experimental data in various layered materials.

Contribution

It provides corrected and simplified analytical formulas for Fermi-surface cross-section and Yamaji angles, enhancing analysis of magnetoresistance in Q2D metals.

Findings

Derived harmonic expansion formulas for Fermi-surface cross-section.

Corrected previous results on Yamaji angles.

Demonstrated applicability to cuprate and organic metals.

Abstract

The analytical and numerical study of the angular dependence of magnetoresistance in layered quasi-two-dimensional (Q2D) metals is performed. The harmonic expansion analytical formulas for the angular dependence of Fermi-surface cross-section area in external magnetic field are obtained for various typical crystal symmetries. The simple azimuth-angle dependence of the Yamaji angles is derived for the elliptic in-plane Fermi surface. These formulas correct some previous results and allow the simple and effective interpretation of the magnetic quantum oscillations data in cuprate high-temperature superconducting materials, in organic metals and other Q2D metals. The relation between the angular dependence of magnetoresistance and of Fermi-surface cross-section area is derived. The applicability region of all results obtained and of some previous widely used analytical results is investigated using the numerical calculations.