ФТП, 2008, том 42, выпуск 8

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Transmission distribution, P\kern-13pt P\kern-13pt P\kern-13pt P\kern-13pt P(ln T), of 1D disordered chain: low-T tail

V.M.Apalkov, M.E.Raikh *

Department of Physics and Astronomy, Georgia State University,
Atlanta, GA 30303, USA
* Department of Physics, University of Utah,
Salt Lake City, UT 84112, USA

(Получена 6 февраля 2008 г. Принята к печати 11 февраля 2008 г.)

We demonstrate that the tail of transmission distribution through 1D disordered Anderson chain is a strong function of the correlation radius of the random potential, a, even when this radius is much shorter than the de Broglie wavelength, k_F-1. The reason is that the correlation radius defines the phase volume of the trapping configurations of the random potential, which are responsible for the low-T tail. To see this, we perform the averaging over the low-T disorder configurations by first introducing a finite lattice spacing ~ a, and then demonstrating that the prefactor in the corresponding functional integral is exponentially small and depends on a even as a \rightarrow 0. Moreover, we demonstrate that this restriction of the phase volume leads to the dramatic change in the shape of the tail of P(ln T) from universal Gaussian in ln T to a simple exponential (in ln T ) with exponent depending on a. Severity of the phase-volume restriction affects the shape of the low-T disorder configurations transforming them from almost periodic (Bragg mirrors) to periodically-sign-alternating (loose mirrors). PACS: 71.23.An, 72.15.Rn, 73.20.Fz

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