| Publication Type |
Journal Article |
| School or College |
College of Science |
| Department |
Physics |
| Creator |
Wu, Yong-Shi |
| Other Author |
Kohmoto, Mahito; Halperin, Bertrand I. |
| Title |
Diophantine equation for the three-dimensional quantum Hall effect |
| Date |
1992-06 |
| Description |
When the Fermi level lies in a gap, the Hall conductivity of three-dimensional electrons in a periodic potential is expressed in a topologically invariant form with a set of three integers. If the magnetic fluxes through the three independent areas of the periodic lattice are rational numbers, one obtains a Diophantine equation relating these numbers and the integers which characterize the Hall conductivity. |
| Type |
Text |
| Publisher |
American Physical Society |
| Journal Title |
Physical Review B |
| Volume |
45 |
| Issue |
23 |
| First Page |
13488 |
| Last Page |
13493 |
| DOI |
10.1103/PhysRevB.45.13488 |
| citatation_issn |
0163-1829 |
| Subject |
Hall conductivity; Periodic potentials |
| Subject LCSH |
Diophantine equations; Quantum Hall effect; Magnetic fields; Mathematical physics |
| Language |
eng |
| Bibliographic Citation |
Kohmoto, M., Halperin, B. I., & Wu, Y.-S. (1992). Diophantine equation for the three-dimensional quantum Hall effect. Physical Review B, 45(23), June, 13488-93. |
| Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevB.45.13488 |
| Format Medium |
application/pdf |
| Format Extent |
509,523 bytes |
| Identifier |
ir-main,9480 |
| ARK |
ark:/87278/s6474v1g |
| Setname |
ir_uspace |
| ID |
703108 |
| Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6474v1g |
