Exactly Solvable Scaling Theory of Conduction in Disordered Wires
Abstract
Recent developments in the scaling theory of phasecoherent conduction through a disordered wire are reviewed. The DorokhovMelloPereyraKumar equation for the distribution of transmission eigenvalues has been solved exactly, in the absence of timereversal symmetry. Comparison with the previous prediction of randommatrix theory shows that this prediction was highly accurate but not exact: the repulsion of the smallest eigenvalues was overestimated by a factor of two. This factor of two resolves several disturbing discrepancies between randommatrix theory and microscopic calculations, notably in the magnitude of the universal conductance fluctuations in the metallic regime, and in the width of the lognormal conductance distribution in the insulating regime.
 Publication:

Modern Physics Letters B
 Pub Date:
 1994
 DOI:
 10.1142/S0217984994000509
 arXiv:
 arXiv:condmat/9403033
 Bibcode:
 1994MPLB....8..469B
 Keywords:

 Condensed Matter
 EPrint:
 9 pages, LATEX, INLOPUB940309a