"Level Curvature" Distribution for Diffusive Aharonov-Bohm Systems: analytical results

Details "Level Curvature" Distribution for Diffusive Aharonov-Bohm Systems: analytical results "Level Curvature" Distribution for Diffusive Aharonov-Bohm Systems: analytical results

1994-12-24

arxiv.org/abs/cond-mat/9412108v1

Physics

Condensed Matter

12 pages. Submitted to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.51.R2719

We calculate analytically the distributions of "level curvatures" (LC) (the second derivatives of eigenvalues with respect to a magnetic flux) for a particle moving in a white-noise random potential. We find that the Zakrzewski-Delande conjecture is still valid even if the lowest weak localization corrections are taken into account. The ratio of mean level curvature modulus to mean dissipative conductance is proved to be universal and equal to $2\pi$ in agreement with available numerical data.

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