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Universal Conductance Distribution in the Quantum Size Regime

Alex Kamenev·Yuval Gefen
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Abstract

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+β)/3}, where β=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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Alex Kamenev, Yuval Gefen. 1994-06-14. Universal Conductance Distribution in the Quantum Size Regime. https://doi.org/10.1209/0295-5075%2F29%2F5%2F011

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