Angular dependence of the Fermi surface cross-section area and magnetoresistance in quasi-two-dimensional metals

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. These formulas correct the 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 in other Q2D metals. Another analytical result for the azimuth-angle dependence of the Yamaji angles is obtained for the elliptic in-plane Fermi surface. The relation between the angular dependence of magnetoresistance and of Fermi-surface cross-section area is derived. The applicability region of all results obtained is investigated using the numerical calculations.