The Thouless formula: From disordered to chaotic spectra

Eric Akkermans

Physica A: Statistical Mechanics and its Applications, 1993, vol. 200, issue 1, 530-537

Abstract: A new expression of the dissipative dc conductance is presented in terms of the scattering phase shift by a time dependent Aharonov-Bohm flux line. It is then related to the Thouless conductance defined as the curvature of the energy levels under a change of the boundary conditions. The relation between these two conductances is found to be universal for all systems obeying Wigner-Dyson statistics. This provides a new characterization of quantum chaotic systems.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:200:y:1993:i:1:p:530-537

DOI: 10.1016/0378-4371(93)90557-K

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