Journal of Statistical Physics

, Volume 62, Issue 1, pp 373–387

Statistics of transfer matrices for disordered quantum thin metallic slabs

  • Pierre Devillard

DOI: 10.1007/BF01020873

Cite this article as:
Devillard, P. J Stat Phys (1991) 62: 373. doi:10.1007/BF01020873


In the quantum transport problem of a tight-binding Anderson model, the statistics of eigenvalues for the transfer matrices of thin disordered slabs is studied. Numerical simulations indicate that the probability distribution of nearest neighbor eigenvalue spacing and theΔ3 statistics have already become close to that of the Gaussian orthogonal ensemble for sample lengths of the order of the mean free path, provided that transverse localization effects are not important. An intuitive argument is given why this should occur independently of the size of the matrix. Therefore, good mixing of the channels is not essential for obtaining Gaussian orthogonal ensemble type statistics and universal conductance fluctuations.

Key words

Localization random matrices conductance fluctuations 

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Pierre Devillard
    • 1
  1. 1.HLRZc/o KFA JülichJülich 1Germany

Personalised recommendations