Universal Conductance Distribution in the Quantum Size Regime

Physics – Condensed Matter

Scientific paper

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13 pages+1 figure, RevTEX 3

Scientific paper

10.1209/0295-5075/29/5/011

We study the conductance (g) distribution function of an ensemble of isolated conducting rings, with an Aharonov--Bohm flux. This is done in the discrete spectrum limit, i.e., when the inelastic rate, frequency and temperature are all smaller than the mean level spacing. Over a wide range of g the distribution function exhibits universal behavior P(g)\sim g^{-(4+\beta)/3}, where \beta=1 (2) for systems with (without) a time reversal symmetry. The nonuniversal large g tail of this distribution determines the values of high moments.

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