Applicability of the ergodicity hypothesis to mesoscopic fluctuations.

Tsyplyatyev, O. and Aleiner, I. L. and Falko, Vladimir and Lerner, Igor V. (2003) Applicability of the ergodicity hypothesis to mesoscopic fluctuations. Physical Review B: Condensed Matter, 68 (12). 121301 / 4 pages. ISSN 1550-235X

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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/2sqrt[anBc/Bo], where 〈〈g2〉〉 is the variance of conductance fluctuations, Bc 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.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review B: Condensed Matter
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Deposited On:
15 Jul 2008 11:27
Last Modified:
15 Jul 2024 09:15