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

14 pages, 7 figures

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Cited by in corpus (18)

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• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Crossover of Magnetoresistance from Fourfold to Twofold Symmetry in SmB6 Single Crystal, a topological Kondo insulator
• Angular dependence of magnetoresistance in strongly anisotropic quasi-two-dimensional metals for various Landau-level shapes
• Magnetic oscillations measure interlayer coupling in cuprate superconductors
• Bilayer splitting versus Fermi-surface warping as an origin of slow oscillations of in-plane magnetoresistance in rare-earth tritellurides
• Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals
• Modelling the angle-dependent magnetoresistance oscillations of Fermi surfaces with hexagonal symmetry
• Structural-transition-induced quasi two-dimensional Fermi surface in FeSe
• False spin zeros in the angular dependence of magnetic quantum oscillation in quasi-two-dimensional metals
• Slow quantum oscillations without fine-grained Fermi Surface Reconstruction in Cuprate Superconductors
• Fermi surface properties of the bifunctional organic metal $\kappa$-(BETS)${}_2$Mn[N(CN)${}_2$]${}_3$ near the metal--insulator transition
• Studying angle-dependent magnetoresistance oscillations of cuprate superconductors in a model with antiferromagnetic reconstruction and magnetic breakdown
• Observation of the Yamaji effect in a cuprate superconductor
• Three-dimensional quantum Griffiths singularity in bulk iron-pnictide superconductors
• Exponential suppression of interlayer conductivity in very anisotropic quasi-two-dimensional compounds in high magnetic field