On the Applicability of the Ergodicity Hypothesis to Mesoscopic Fluctuations

Abstract

We evaluate a typical value of higher order cumulants (irreducible moments) of conductance fluctuations that could be extracted from magneto-conductance measurements in a single sample when an external magnetic field is swept over an interval $B_0$. We find that the n-th cumulant has a sample-dependent random part $\pm \gN 2^{n/2}\sqrt{a_{n}B_{c}/B_{0}}$, where $\gN 2$ is the variance of conductance fluctuations, $B_c$ is a correlation field, and $a_n\sim n!$. This means that an apparent deviation of the conductance distribution from a Gaussian shape, manifested by non-vanishing higher cumulants, can be a spurious result of correlations of conductances at different values of the magnetic field.

4 pages, no figures, submitted to Phys. Rev. B

References in corpus (2)

• Inelastic Scattering Time for Conductance Fluctuations
• Anomalous Conductance Distribution in Quasi-One Dimension: Possible Violation of One-Parameter Scaling Hypothesis

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• Persistent Currents in Normal Metal Rings (Yale PhD thesis)
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