Noncommutative geometry and non-abelian Berry phase in the wave-packet dynamics of Bloch electrons

DOI10.1016/j.nuclphysb.2005.05.019zbMath1194.81117arXivcond-mat/0411105OpenAlexW2032484576MaRDI QIDQ875903

Ken-Ichiro Imura, Ryuichi Shindou

Publication date: 16 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0411105

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

Berry phase effects on electronic properties ⋮ A new approach to transport coefficients in the quantum spin Hall effect ⋮ Electronic Properties of Strained Double‐Weyl Systems ⋮ Coupling of electron spin with its rotation in semiconductors ⋮ Semiclassical diagonalization of quantum Hamiltonian and equations of motion with Berry phase corrections

Cites Work

• Quantal phase factors accompanying adiabatic changes
• Quantised singularities in the electromagnetic field,
• Quantum Spin Pump in S=1/2 Antiferromagnetic Chains –Holonomy of Phase Operators in sine-Gordon Theory–
• Hall Effect in Ferromagnetics

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