The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Magnetic subband structure of electrons in hexagonal lattices
Abstract
The energy spectrum of an electron in the presence of a uniform magnetic field and a potential of hexagonal symmetry is analyzed. Two alternative approaches are used, one that takes as a basis set free-electron Landau functions, and a second one that treats an effective single-band Hamiltonian with the Peierls substitution. Both methods lead to consistent results. The energy spectrum is found to have recursive properties similar to those discussed by Hofstadter for the case of a square lattice. The density of states over each subband of the spectrum has the same structure as that for the original field-free band. The plot of integrated density of states versus field is also discussed.
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Citations
Cites
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
Cited by
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
Dean, C. R., Wang, L., Maher, P., Forsythe, C., Ghahari, F., Gao, Y., Katoch, J., Ishigami, M., Moon, P., Koshino, M., et al. (2013) · Nature · doi:10.1038/nature12186 · Cited by 1,745
Nenciu, G. (1991) · Reviews of Modern Physics · doi:10.1103/revmodphys.63.91 · Cited by 374
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
Energy spectrum and the quantum Hall effect on the square lattice with next-nearest-neighbor hopping
Hatsugai, Y., & Kohmoto, M. (1990) · Physical Review B · doi:10.1103/physrevb.42.8282 · Cited by 198
Metadata
- Authors
- Claro, F. H., & Wannier, G. H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1979-06-15
- Volume
- 19
- Issue
- 12
- Pages
- 6068-6074
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2003718199
- Cited by
- 237
- References
- 1
- FWCI
- 2.10
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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