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Phase-shift randomness in one-dimensional disordered conductors in the quasi-metallic domain

Heinrichs, J (1988) Phase-shift randomness in one-dimensional disordered conductors in the quasi-metallic domain. In: Journal of Physics C: Solid State Physics, 21 (35). L1153-L1158.

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Official URL: http://iopscience.iop.org/0022-3719/21/35/005/

Abstract

An invariant imbedding method yields exact analytical results for the distribution of the phase theta (L) of the reflection amplitude and for low-order resistance moments (pn) for a disordered conductor of length L in the quasi-metallic regime L<<Lc (Lc=localisation length). The distribution of theta is significantly non-uniform only for sufficiently small values (<or approximately=102) of the parameter 2k0L, where k0 is the incident momentum. For realistic values of 2k0L, the resistance moments are dominated by the terms obtained previously by arbitrarily assuming uniformly distributed phases. A direct proof of the validity of the random-phase assumption for studying scaling of resistance in one dimension is thus obtained.

Item Type: Editorials/Short Communications
Additional Information: Copyright of this article belongs to Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 25 Sep 2010 06:24
Last Modified: 25 Sep 2010 06:24
URI: http://eprints.iisc.ernet.in/id/eprint/32447

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