Anomalous Hall effect in a two-dimensional Dirac band: The link between the Kubo-Streda formula and the semiclassical Boltzmann equation approach
By Nikolai Sinitsyn, Allan H. MacDonald, T. Jungwirth, V. Dugaev, J. Sinova. 2006
187 citations recorded by the source corpus.
The anomalous Hall effect AHE is a consequence of spin-orbit coupling in a ferromagnetic metal and related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder contributions to the AHE are difficult to treat systematically using a semiclassical Boltzmann equation approach, even when weak localization corrections are disregarded. In this article we explicitly demonstrate the equivalence of an appropriately modified semiclassical transport theory which includes anomalous velocity and side-jump contributions and microscopic Kubo-Streda perturbation theory, with particular unconventional contributions in the semiclassical theory identified with particular Feynman diagrams when calculations are carried out in a band-eigenstate representation. The equivalence we establish is verified by explicit calculations for the case of the two-dimensional Dirac model Hamiltonian relevant to graphene.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/e3b77c052f60db3cc25d1c2ad37ebb076d1aa307
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Anomalous hall effect (2009, background): “We now understand (Sinitsyn et al., 2007) that these cancellations are unlikely, except in models with a very simple band structure, e.g. one with a constant Berry’s curvature.”
- Berry phase effects on electronic properties (2009, background): “…approach (Sinitsyn, 2008; Sinitsyn et al., 2005), there are a number of works based on a full quantum mechanical approach (Dugaev et al., 2005; Inoue et al., 2006; Kato et al., 2007; Nozières and Lewiner, 1973; Onoda and Nagaosa, 2002; Onoda et al., 2006b, 2008; Sinitsyn et al., 2007).”