Distribution function of persistent current
classification
❄️ cond-mat.mes-hall
keywords
distributionfunctioncurrentgaussianpersistentallowsbreakdowncalculating
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We introduce a variant of the replica trick within the nonlinear sigma model that allows calculating the distribution function of the persistent current. In the diffusive regime, a Gaussian distribution is derived. This result holds in the presence of local interactions as well. Breakdown of the Gaussian statistics is predicted for the tails of the distribution function at large deviations.
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