Revisiting Thouless conductance formula

Details Revisiting Thouless conductance formula Revisiting Thouless conductance formula

1995-06-19

arxiv.org/abs/cond-mat/9506089v3

Physics

Condensed Matter

This version contains an extra result. Two figures available on request

Scientific paper

It was shown using perturbation theory[1] that Thouless energy Ec for a quantum system scales linearly with the conductance of the system. We derive in an alternate way in 1-D that Ec scales with the conductance in a very different way. We physically show the difference between our approach and that of ref. 1 to expect our results to hold in higher dimensions also. We verify our results with exact numerical calculations.

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