QUANTIZED HALL CONDUCTANCE AS A TOPOLOGICAL INVARIANT - INSPIRE

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QUANTIZED HALL CONDUCTANCE AS A TOPOLOGICAL INVARIANT

Qian Niu
(
- Washington U., Seattle
)
,
D.J. Thouless
(
- Washington U., Seattle
)
,
Yong-Shi Wu
(
- Washington U., Seattle
)

Oct, 1984

16 pages

Published in:

Phys.Rev.B 31 (1985) 3372-3377

DOI:

10.1103/PhysRevB.31.3372

Report number:

DOE-ER-40048-28 P4

View in:

AMS MathSciNet

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Abstract: (APS)

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.

References(32)

Figures(0)

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