Landauer-Büttiker Study of the Anomalous Hall Effect

Abstract

We report on Landauer-Büttiker studies of anomalous Hall transport in a two-dimensional electron gas with Rashba spin-orbit coupling and a magnetization provided by localized magnetic moments. Our system is described by a discretized tight-binding model in a four-terminal geometry. We consider both the case of magnetically disordered systems as well as ballistic transport in disorder-free systems with spatially homoge- neous magnetization. In the latter case we investigate both out-of-plane and in-plane magnetizations. We numerically establish a close connection between singularities in the density of states and peaks in the Hall conductance close to the lower band edge. Consistent with previous theoretical studies based on diagrammatic perturbation expansions, these peaks occur at Fermi energies where only the lower dispersion branch is occupied. Moreover, for large magnetization the Hall conductance is, along with the density of states, sup- pressed. This numerical finding can be understood from analytical properties of the underlying model in the limit of an infinite system.

10 pages, 13 figures. Published Phys. Rev. B 80, 155321 (2009)

References in corpus (14)

• Theory of ferromagnetic (III,Mn)V semiconductors
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Semiclassical theories of the anomalous Hall effect
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Anomalous Hall effect in a two-dimensional electron gas
• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Absence of skew scattering in two-dimensional systems: Testing the origins of the anomalous Hall effect
• Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
• A kinetic equation approach to the anomalous Hall effect in a diffusive Rashba two-dimensional electron system with magnetization
• Hybrid skew scattering regime of the anomalous Hall effect in Rashba systems: unifying Keldysh, Boltzmann, and Kubo formalisms
• Anomalous Hall effect in Rashba two-dimensional electron systems based on narrow-band semiconductors: side-jump and skew scattering mechanisms

Cited by in corpus (5)

• Theory of orbital magnetization in disordered systems
• Current-induced spin polarization of a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Spin Hall Effects in Antiferromagnets
• Quantum transport in the presence of a chiral molecular potential
• Effects of scattering area shape on spin conductance in a four-terminal spin-Hall setup