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Gauge covariant formulation of Wigner representation through deformational quantization --Application to Keldysh formalism with electromagnetic field--
N. Sugimoto, S. Onoda, N. Nagaosa
We developed a gauge-covariant formulation of the non-equilibrium Green function method for the dynamical and/or non-uniform electromagnetic field by means of the deformational qua…
Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
Shigeki Onoda, Naoyuki Sugimoto, Naoto Nagaosa
A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to…
Theory of Non-Equilibirum States Driven by Constant Electromagnetic Fields: Non-Commutative Quantum Mechanics in the Keldysh Formalism
Shigeki Onoda, Naoyuki Sugimoto, Naoto Nagaosa
We develop a general theory of non-equilibrium states based on the Keldysh formalism, in particular, for charged-particle systems under static uniform electromagnetic fields. The D…