Derivation of one-particle semiclassical kinetic theory in the presence of non-Abelian Berry curvature

DOI10.1088/1751-8121/aa8899zbMath1376.81027arXiv1703.08673OpenAlexW3099834823MaRDI QIDQ4591271

Eldad Bettelheim

Publication date: 14 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08673

zbMATH Keywords

Boltzmann equationkinetic equationBerry phaseWigner transformBerry curvaturesemiclassicsanomalous velocity

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Boltzmann equations (35Q20)

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Cites Work

• Berry phase effects on electronic properties
• The Effect of a Magnetic Field on Electrons in a Periodic Potential
• Motion of Electrons and Holes in Perturbed Periodic Fields