RESISTANCE AND REFLECTION PHASE DISTRIBUTIONS IN SHORT ONE-DIMENSIONAL CONDUCTORS

Resistance and reflection phase distributions are obtained from the ex act asymptotic solution of the invariant embedding equations for arbit rary disorder, for samples of length L << (2k(0))(-1) < L(c) (with k(0 ) the incident electron wavenumber and L(c) the localization length). The resistance moments differ quantitatively from earlier results for the range (2k(0))(-1) << L << L(c) and from results obtained by assumi ng uniformly distributed phases. The phase distribution reduces, for w eak disorder, to a binary form with possible phases pi/2 and 3 pi/2. T he conductance moments diverge more strongly than the results based on uniformly random phases in 1D.