Transmission distribution, P-13pt P-13pt P-13pt P-13pt P (ln T), of 1D disordered chain: low-T tail
Apalkov V.M.1, Raikh M.E.2
1Department of Physics and Astronomy, Georgia State University, Atlanta, GA, USA
2Department of Physics, University of Utah, Salt Lake City, UT, USA
Поступила в редакцию: 6 февраля 2008 г.
Выставление онлайн: 20 июля 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 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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