%0 Journal Article %1 1985PhRvB..31.3372N %A Niu, Q. %A Thouless, D. J. %A Wu, Y.-S. %D 1985 %J \prb %K imported %P 3372-3377 %R 10.1103/PhysRevB.31.3372 %T Quantized Hall conductance as a topological invariant %V 31 %X 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.

@article{1985PhRvB..31.3372N, abstract = {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.}, added-at = {2011-03-12T05:59:39.000+0100}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, adsurl = {http://ads.nao.ac.jp/abs/1985PhRvB..31.3372N}, author = {{Niu}, Q. and {Thouless}, D. J. and {Wu}, {Y.-S.}}, biburl = {https://www.bibsonomy.org/bibtex/2339b38ebaf456d388d9cca3fa40b5ad0/corneliu}, doi = {10.1103/PhysRevB.31.3372}, file = {1985PhRvB..31.3372N.pdf:1985PhRvB..31.3372N.pdf:PDF}, interhash = {2aa948fdcf01d36ac29b76faa0b2f9da}, intrahash = {339b38ebaf456d388d9cca3fa40b5ad0}, journal = {\prb}, keywords = {imported}, month = mar, pages = {3372-3377}, review = {Relation od Hall effect to Chern-Simons}, timestamp = {2011-03-12T05:59:45.000+0100}, title = {{Quantized Hall conductance as a topological invariant}}, volume = 31, year = 1985 }