Applicability of the ergodicity hypothesis to mesoscopic fluctuations

O. Tsyplyatyev, I. L. Aleiner, Vladimir I. Fal'ko, Igor V. Lerner

    Research output: Contribution to journalArticlepeer-review


    We evaluate a typical value of higher-order cumulants (irreducible moments) of conductance fluctuations that could be extracted from magnetoconductance measurements in a single sample when an external magnetic field is swept over an interval B0. We find that the nth cumulant has a sample-dependent random part ±〈〈g2〉〉n/2√ anBc/B0, where 〈〈g 2〉〉 is the variance of conductance fluctuations, B c is a correlation field, and an∼n! This means that an apparent deviation of the conductance distribution from a Gaussian shape, manifested by nonvanishing higher cumulants, can be a spurious result of correlations of conductances at different values of the magnetic field.

    Original languageEnglish
    Article number121301
    Pages (from-to)1213011-1213014
    Number of pages4
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Issue number12
    Publication statusPublished - Sept 2003

    Research Beacons, Institutes and Platforms

    • National Graphene Institute


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