Issue J. Phys. I France Volume 3, Number 8, August 1993 Page(s) 1671 - 1675 DOI 10.1051/jp1:1993209

DOI: 10.1051/jp1:1993209
J. Phys. I France 3 (1993) 1671-1675

Distribution of conductance and its universal fluctuations in 1-D disordered, mesoscopic systems

A. K. Gupta¹, A. M. Jayannavar² and A. K. Sen<sup>1

1</sup>  Low Temperature Physics Section, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700 064, India
²  Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India

(Received 10 March 1993, revised 19 April 1993, accepted 18 May 1993)

Abstract
The evolution with length of the probability distribution for the two-probe conductance ( g₂) of a disordered one-dimensional system is obtained numerically. It evolves from a strongly peaked distribution close to g₂=1 in the small length limit towards another strongly peaked distribution near g₂=0 in the large length limit. In the middle it goes through a quasi-diffusive regime where the distribution is nearly uniform. This is consistent with a universal conductance fluctuation of magnitude 0.3 e ²/h (as observed in a recent paper) occurs in such a domain.

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