UNIVERSALITY IN DISORDERED MESOSCOPIC SYSTEMS
- 6 April 1992
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 6 (8) , 1243-1253
- https://doi.org/10.1142/s0217979292000645
Abstract
We consider an ensemble of disordered electronic samples at the mobility edge (at zero temperature) and study the conductance distribution PL(g), for samples of size L. We derive an equation for the cumulant generating function and find its solution, for any initial distribution P0(g). We prove that, independent of P0(g), the distribution PL(g) approaches an entirely universal function P*(g) when L→∞.Keywords
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