J. Phys. I France 3 (1993) 1671-1675
Distribution of conductance and its universal fluctuations in 1-D disordered, mesoscopic systemsA. K. Gupta1, A. M. Jayannavar2 and A. K. Sen1
1 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)
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.
© Les Editions de Physique 1993