Quantized Hall conductance in a two dimensional periodic potential

Marcel den Nijs

Physica A: Statistical Mechanics and its Applications, 1984, vol. 124, issue 1, 199-210

Abstract: The Hall conductance αH of a two dimensional electron gas has been studied in a uniform magnetic field and a periodic potential. The periodic potential splits each Landau level in a nested devil's staircase like subband structure. The Kubo formula is written in the form of a topological invariant which makes apparent the quantization of σH in multiples of e2/h when the Fermi energy lies in a subgap. Explicit expressions for σH in the subgaps have been obtained. For increasing resolution of the nested subband structure σH makes increasingly larger jumps. Also a less rigorous but intuitively appealing explanation of this result is presented. Moreover it is shown how the devil's staircase structure describes phase diagrams of incommensurate monolayers adsorbed on surfaces with two competing periods.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:124:y:1984:i:1:p:199-210

DOI: 10.1016/0378-4371(84)90239-5

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