Landauer-Buttiker study of the anomalous Hall effect

Garelli, Maria Silvia and Schliemann, John (2009) Landauer-Buttiker study of the anomalous Hall effect. PHYSICAL REVIEW B, 80 (15): 155321. ISSN 1098-0121,

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Abstract

We report on Landauer-Buttiker 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 homogeneous 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, suppressed. This numerical finding can be understood from analytical properties of the underlying model in the limit of an infinite system.

Item Type: Article
Uncontrolled Keywords: FERROMAGNETIC (III,MN)V SEMICONDUCTORS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Sep 2020 08:53
Last Modified: 04 Sep 2020 08:53
URI: https://pred.uni-regensburg.de/id/eprint/28370

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