Electronic states on a lattice in periodic magnetic fields
| dc.contributor.author | Guil Guerrero, Francisco José | |
| dc.date.accessioned | 2023-06-20T10:59:07Z | |
| dc.date.available | 2023-06-20T10:59:07Z | |
| dc.date.issued | 2007-03 | |
| dc.description | ©2007 American Institute of Physics. | |
| dc.description.abstract | The Hamiltonian for an electron in Z^2 , interacting with a perpendicular periodic magnetic field, is shown to be gauge equivalent to a periodic Hamiltonian. The wave function of the system is computed in terms of a ground state of the continuous motion in R2 for the Pauli Hamiltonian. Explicit expressions for the states, in both the Coulomb and Landau gauges, are considered. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/33068 | |
| dc.identifier.doi | 10.1063/1.2710199 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1063/1.2710199 | |
| dc.identifier.relatedurl | http://scitation.aip.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51555 | |
| dc.issue.number | 3 | |
| dc.journal.title | Journal of mathematical physics | |
| dc.language.iso | eng | |
| dc.publisher | American Institute of Physics | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Bloch electrons | |
| dc.subject.keyword | Flux phase | |
| dc.subject.keyword | Modulation | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Electronic states on a lattice in periodic magnetic fields | |
| dc.type | journal article | |
| dc.volume.number | 48 | |
| dcterms.references | 1.D. R. Hofstadter, Phys. Rev. B 14, 2239 1976. 2. G. Y. Oh, Phys. Rev. B 60, 1939 1999. 3. P. Fekete and G. Gumbs, J. Phys.: Condens. Matter 11, 5475 1999. 4. M. C. Chang and M. F. Yang, Phys. Rev. B 69, 115108 2004. 5. P. B. Wiegmann and A. V. Zabrodin, Phys. Rev. Lett. 72, 1890 1994. 6. B. A. Dubrovin and S. P. Novikov, Sov. Phys. JETP 52, 511 1980. 7. S. P. Novikov, Sov. Math. Dokl. 23, 298 1981. 8. A. Y. Rom, Phys. Rev. B 55, 11025 1996. 9. Y. A. Kordyukov, Commun. Math. Phys. 253, 371 2005. 10. J. Bruening, V. Geyler, and K. Pankrashkin, Commun. Math. Phys. 269, 87 2007. 11.R. Varnhagen, Nucl. Phys. B: Field Theory Stat. Syst. [FS]443, 501 1995. 12.E. H. Lieb and M. Loss, Duke Math. J. 71, 337 1993. 13.E. H. Lieb, Phys. Rev. Lett. 73, 2158 1994. 14.N. Macris and B. Nachtergaele, J. Stat. Phys. 85, 745 1996. 15.D. Husemöller, Elliptic Curves Springer, Berlin, 1987. 033503-8 Fran | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 07b29370-82af-4544-a17f-da10a1ba1805 | |
| relation.isAuthorOfPublication.latestForDiscovery | 07b29370-82af-4544-a17f-da10a1ba1805 |
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