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
Open accessAbstract
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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Citations
Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Motion of Electrons and Holes in Perturbed Periodic Fields
Luttinger, J. M., & Kohn, W. (1955) · Physical Review · doi:10.1103/physrev.97.869 · Cited by 3,088
Berry Phase, Hyperorbits, and the Hofstadter Spectrum
Chang, M.-C., & Niu, Q. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.1348 · Cited by 297
Self-citationSemiclassical Theory of Magnetic Energy Levels and Magnetic Susceptibility of Bloch Electrons
Roth, L. M. (1966) · Physical Review · doi:10.1103/physrev.145.434 · Cited by 143
Cited by
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Self-citationNagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H., & Ong, N. P. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1539 · Cited by 4,798
Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
Xiao, D., Yao, W., & Niu, Q. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.236809 · Cited by 2,296
Self-citationObservation of the Spin Hall Effect of Light via Weak Measurements
Hosten, O., & Kwiat, P. (2008) · Science · doi:10.1126/science.1152697 · Cited by 2,026
Analogs of quantum-Hall-effect edge states in photonic crystals
Raghu, S., & Haldane, F. D. M. (2008) · Physical Review A · doi:10.1103/physreva.78.033834 · Cited by 1,290
Metadata
- Authors
- Chang, M.-C., & Niu, Q.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- 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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