Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Niu, Qian; Thouless, D. J. |
Title |
Quantized Hall conductance as a topological invariant |
Date |
1985-03 |
Description |
Whenever the Fermi level lies in a gap (or mobility gap) the bulk Hall conductance can be expressed in a topologically invariant form showing the quantization explicitly. The new formulation generalizes the earlier result by Thouless, Kohmoto, Nightingale, and den Nijs to the situation where many-body interaction and substrate disorder are also present. When applying to the fractional quantized Hall effect, we draw the conclusion that there must be a symmetry breaking in the many-body ground state. The possibility of writing the fractionally quantized Hall conductance as a topological invariant is also discussed. |
Type |
Text |
Publisher |
American Physical Society |
Journal Title |
Physical Review B |
Volume |
31 |
Issue |
6 |
First Page |
3372 |
Last Page |
3377 |
DOI |
10.1103/PhysRevB.31.3372 |
citatation_issn |
0163-1829 |
Subject |
Hall conductance; Fermi gap; Degeneracy |
Subject LCSH |
Quantum Hall effect |
Language |
eng |
Bibliographic Citation |
Niu, Q., Thouless, D. J., & Wu, Y.-S. (1985). Quantized Hall conductance as a topological invariant. Physical Review B, 31(6), Mar., 3372-7. |
Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevB.31.3372 |
Format Medium |
application/pdf |
Format Extent |
596,705 bytes |
Identifier |
ir-main,9513 |
ARK |
ark:/87278/s6qn6r4r |
Setname |
ir_uspace |
ID |
704518 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6qn6r4r |