Semiclassical framework for the calculation of transport anisotropies

Abstract

We present a procedure for finding the exact solution to the linear-response Boltzmann equation for two-dimensional anisotropic systems and demonstrate it on examples of non-crystalline anisotropic magnetoresistance in a system with spin-orbit interaction. We show that two decoupled integral equations must be solved in order to find the non-equilibrium distribution function up to linear order in the applied electric field. The examples are all based on the Rashba system with charged magnetic scatterers, a system where the non-equilibrium distribution function and anisotropic magnetoresistance can be evaluated analytically. Exact results are compared to earlier widely-used approximative approaches. We find circumstances under which approximative approaches may become unreliable even on a qualitative level.

submitted to PRB

References in corpus (6)

• Theory of ferromagnetic (III,Mn)V semiconductors
• Semiclassical theories of the anomalous Hall effect
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Anisotropic Magnetoresistance components in (Ga,Mn)As
• Anisotropic current-induced spin accumulation in the two-dimensional electron gas with spin-orbit coupling
• Hybrid skew scattering regime of the anomalous Hall effect in Rashba systems: unifying Keldysh, Boltzmann, and Kubo formalisms

Cited by in corpus (3)

• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Microscopic mechanism of the non-crystalline anisotropic magnetoresistance in (Ga,Mn)As
• Nonvanishing anisotropic magnetoresistance in Rashba two-dimensional electron systems with nonmagnetic disorders