English

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

Mesoscale and Nanoscale Physics 2020-09-02 v1

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.

Keywords

Cite

@article{arxiv.1003.0568,
  title  = {Angular dependence of magnetoresistance and Fermi-surface shape in quasi-2D metals},
  author = {P. D. Grigoriev},
  journal= {arXiv preprint arXiv:1003.0568},
  year   = {2020}
}

Comments

14 pages, 7 figures