``Level curvature'' distribution for diffusive AharonovBohm systems: Analytical results
Abstract
We calculate analytically the distributions of ``level curvatures'' (the second derivatives of eigenvalues with respect to a magnetic flux) for a particle moving in a whitenoise random potential. We find that the ZakrzewskiDelande conjecture [J. Zakrzewski and D. Delande, Phys. Rev. E 47, 1650 (1993)] 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 2π in agreement with available numerical data.
 Publication:

Physical Review E
 Pub Date:
 April 1995
 DOI:
 10.1103/PhysRevE.51.R2719
 arXiv:
 arXiv:condmat/9412108
 Bibcode:
 1995PhRvE..51.2719F
 Keywords:

 05.45.+b;
 71.55.Jv;
 Disordered structures;
 amorphous and glassy solids;
 Condensed Matter;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 12 pages. Submitted to Phys.Rev.E