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Cited by 633

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Berry phase, hyperorbits, and the Hofstadter spectrum: Semiclassical dynamics in magnetic Bloch bands

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Chang, Ming-Che, Niu, Qian·1996·Physical Review B

Abstract

We have derived a set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry phase and magnetization. This semiclassical approach is used to study general electron transport in a dc or ac electric field. We also find a close connection between the cyclotron orbits in magnetic Bloch bands and the energy subbands in the Hofstadter spectrum. Based on this formalism, the pattern of band splitting, the distribution of Hall conductivities, and the positions of energy subbands in the Hofstadter spectrum can be understood in a simple and unified picture. \textcopyright{} 1996 The American Physical Society.

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Metadata

Authors
Chang, M.-C., & Niu, Q.
Venue
Physical Review B
Published
1996-03-15
Volume
53
Issue
11
Pages
7010-7023
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W2141497398
Cited by
633
References
5
FWCI
2.16
Type
journal article
Language
en
Open access
green

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