Electron-Electron Interactions and the Hall-Insulator

Details Electron-Electron Interactions and the Hall-Insulator Electron-Electron Interactions and the Hall-Insulator

1994-05-03

arxiv.org/abs/cond-mat/9405005v1

Physics

Condensed Matter

11 pages, RevTeX3.0

Scientific paper

10.1103/PhysRevB.50.4984

Using the Kubo formula, we show explicitly that a non-interacting electron system can not behave like a Hall-insulator, {\it ie.,} a DC resistivity matrix $\rho_{xx}\rightarrow\infty$ and $\rho_{xy}=$finite in the zero temperature limit, as has been observed recently in experiment. For a strongly interacting electron system in a magnetic field, we illustrate, by constructing a specific form of correlations between mobile and localized electrons, that the Hall resistivity can approximately equal to its classical value. A Hall-insulator is realized in this model when the density of mobile electrons becomes vanishingly small. It is shown that in non-interacting electron systems, the zero-temperature frequency-dependent conductacnce generally does not give the DC conductance.

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