Physics – Condensed Matter
Scientific paper
1994-03-09
Mod.Phys.Lett.B 8 (1994) 469
Physics
Condensed Matter
9 pages, LATEX, INLO-PUB-940309a
Scientific paper
Recent developments are reviewed in the scaling theory of phase-coherent conduction through a disordered wire. The Dorokhov-Mello-Pereyra-Kumar equation for the distribution of transmission eigenvalues has been solved exactly, in the absence of time-reversal symmetry. Comparison with the previous prediction of random-matrix 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 random-matrix theory and microscopic calculations, notably in the magnitude of the universal conductance fluctuations in the metallic regime, and in the width of the log-normal conductance distribution in the insulating regime. ***To be published as a "Brief Review" in Modern Physics Letters B.****
Beenakker C. W. J.
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