Anisotropic scattering in angular-dependent magnetoresistance oscillations of quasi-2D and quasi-1D metals: beyond the relaxation-time approximation

Abstract

The electrical resistivity for a current moving perpendicular to layers (chains) in quasi-2D (quasi-1D) metals under an applied magnetic field of varying orientation is studied using Boltzmann transport theory. We consider the simplest non-trivial quasi-2D and quasi-1D Fermi surfaces but allow for an arbitrary elastic collision integral (i.e., a scattering probability with arbitrary dependence on momentum-transfer) and obtain an expression for the resistivity which generalizes that previously found using a single relaxation-time approximation. The dependence of the resistivity on the angle between the magnetic field and current changes depending on the momentum-dependence of the scattering probability. So, whereas zero-field intra-layer transport is sensitive only to the momentum-averaged scattering probability (the transport relaxation rate) the resistivity perpendicular to layers measured in a tilted magnetic field provides detailed information about the momentum-dependence of interlayer scattering. These results help clarify the meaning of the relaxation rate determined from fits of angular-dependent magnetoresistance oscillations (AMRO) experimental data to theoretical expressions. Furthermore, we suggest how AMRO might be used to probe the dominant scattering mechanism.

12 pages, 7 figures

References in corpus (22)

• Detailed Topography of the Fermi Surface of Sr2RuO4
• Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor
• Comparison of coherent and weakly incoherent transport models for the interlayer magnetoresistance of layered Fermi liquids
• Test for interlayer coherence in a quasi-two-dimensional superconductor
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Quasiclassical magnetotransport in a random array of antidots
• The Dependence of the Superconducting Transition Temperature of Organic Molecular Crystals on Intrinsically Non-Magnetic Disorder: a Signature of either Unconventional Superconductivity or Novel Local Magnetic Moment Formation
• Slow oscillations of magnetoresistance in quasi-two-dimensional metals
• Angle Dependent Magnetoresistance of the Layered Organic Superconductor κ-(ET)2Cu(NCS)2: Simulation and Experiment
• Elastic forward scattering in the cuprate superconducting state
• Weiss oscillations in the presence of small-angle impurity scattering
• Quasi-linear magnetoresistance in an almost 2D band structure
• Angle-dependent magnetoresistance in the weakly incoherent interlayer transport regime
• Interlayer Aharonov-Bohm interference in tilted magnetic fields in quasi-one-dimensional layered conductors
• Angle dependent magnetoresistance measurements in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ and the need for anisotropic scattering
• Periodic orbit resonances in layered metals in tilted magnetic fields
• Sensitivity of the interlayer magnetoresistance of layered metals to intralayer anisotropies
• Fermiology and superconductivity studies on the non-tetrachalcogenafulvalene structured organic superconductor beta-(BDA-TTP)_2SbF_6
• Severe Fermi Surface Reconstruction at a Metamagnetic-Transition in Ca${}_{2-x}$Sr${}_x$RuO${}_4$ (for $0.2\le x\le 0.5$)
• Persistence to high temperatures of interlayer coherence in an organic superconductor
• Anomalous behaviour of the in-plane electrical conductivity of the layered superconductor $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Universality in scattering by large-scale potential fluctuations in two-dimensional conductors

Cited by in corpus (3)

• Nernst effect beyond the relaxation-time approximation
• Apparent Violation of the Wiedemann-Franz law near a magnetic field tuned metal-antiferromagnetic quantum critical point
• Temperature Dependence of Interlayer Magnetoresistance in Anisotropic Layered Metals