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• W2009196185 abstract "Generalizing a simple gauge-invariance argument, we introduce a k -space vector potential A k which allows us to obtain explicitly the identification of the Hall conductance with the quantized phase winding number of the wave function around the Brillouin zone. We also demonstrate, based on these winding number considerations alone, that a weak periodic potential which splits each Landau band into non-degenerate subbands results in Hall conductances which sum to unity, and satisfy a Diophantine equation." @default.
• W2009196185 created "2016-06-24" @default.
• W2009196185 creator A5047492118 @default.
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• W2009196185 date "1991-01-08" @default.
• W2009196185 modified "2023-09-26" @default.
• W2009196185 title "Generalized gauge invariance and the integer quantum Hall effect" @default.
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• W2009196185 doi "https://doi.org/10.1098/rspa.1991.0003" @default.
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