Mesoscopic conductance fluctuations in dirty quantum dots with single channel leads

Details Mesoscopic conductance fluctuations in dirty quantum dots with single channel leads Mesoscopic conductance fluctuations in dirty quantum dots with single channel leads

1996-07-17

arxiv.org/abs/cond-mat/9607121v1

J. Phys. Cond. Matt. 8 (1996) 6719

Physics

Condensed Matter

14 pages in the ReVTeX preprint format, including 5 postscript figures; to be published in J.Phys.:Cond.Mat., 1996

Scientific paper

10.1088/0953-8984/8/36/022

We consider a distribution of conductance fluctuations in quantum dots with single channel leads and continuous level spectra and we demonstrate that it has a distinctly non-Gaussian shape and strong dependence on time-reversal symmetry, in contrast to an almost Gaussian distribution of conductances in a disordered metallic sample connected to a reservoir by broad multi-channel leads. In the absence of time-reversal symmetry, our results obtained within the diagrammatic approach coincide with those derived within non-perturbative techniques. In addition, we show that the distribution has lognormal tails for weak disorder, similar to the case of broad leads, and that it becomes almost lognormal as the amount of disorder is increased towards the Anderson transition.

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