On the Applicability of the Ergodicity Hypothesis to Mesoscopic Fluctuations

Details On the Applicability of the Ergodicity Hypothesis to Mesoscopic Fluctuations On the Applicability of the Ergodicity Hypothesis to Mesoscopic Fluctuations

2003-06-24

arxiv.org/abs/cond-mat/0306613v1

Phys. Rev. B (RC), 68, 121301 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.68.121301

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.

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