Berry's Phase of Bloch Electrons in Electromagnetic Fields
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概要
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Berry recognized in quantum mechanics a topological phase factor arising from the adiabatic transport of a system around a closed loop, which is essentially the Aharonov-Bohm effect in parameter space. In this paper we consider noninteracting electrons in a periodic potential in the presence of electromagnetic fields. The electric field is represented by a time-dependent vector potential. Adiabatic processes move states along a non-contractible closed loop in the magnetic Brillouin zone which is a torus. The existence of Berry's phases in such processes is shown. A relation with the quantized Hall effect is discussed.
- 社団法人日本物理学会の論文
- 1993-02-15
著者
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Kohmoto M
Univ. Tokyo Tokyo
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Mahito KOHMOTO
Institute for Solid State Physics, University of Tokyo
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Kohmoto Mahito
Institute For Solid State Physics The University Of Tokyo
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