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Applicability of the ergodicity hypothesis to mesoscopic fluctuations.

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Applicability of the ergodicity hypothesis to mesoscopic fluctuations. / Tsyplyatyev, O.; Aleiner, I. L.; Falko, Vladimir et al.
In: Physical Review B: Condensed Matter, Vol. 68, No. 12, 11.09.2003, p. 121301 / 4 pages.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Tsyplyatyev, O, Aleiner, IL, Falko, V & Lerner, IV 2003, 'Applicability of the ergodicity hypothesis to mesoscopic fluctuations.', Physical Review B: Condensed Matter, vol. 68, no. 12, pp. 121301 / 4 pages. https://doi.org/10.1103/PhysRevB.68.121301

APA

Tsyplyatyev, O., Aleiner, I. L., Falko, V., & Lerner, I. V. (2003). Applicability of the ergodicity hypothesis to mesoscopic fluctuations. Physical Review B: Condensed Matter, 68(12), 121301 / 4 pages. https://doi.org/10.1103/PhysRevB.68.121301

Vancouver

Tsyplyatyev O, Aleiner IL, Falko V, Lerner IV. Applicability of the ergodicity hypothesis to mesoscopic fluctuations. Physical Review B: Condensed Matter. 2003 Sept 11;68(12):121301 / 4 pages. doi: 10.1103/PhysRevB.68.121301

Author

Tsyplyatyev, O. ; Aleiner, I. L. ; Falko, Vladimir et al. / Applicability of the ergodicity hypothesis to mesoscopic fluctuations. In: Physical Review B: Condensed Matter. 2003 ; Vol. 68, No. 12. pp. 121301 / 4 pages.

Bibtex

@article{17df680542664be2a3524c94a43fe118,
title = "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 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.",
author = "O. Tsyplyatyev and Aleiner, {I. L.} and Vladimir Falko and Lerner, {Igor V.}",
year = "2003",
month = sep,
day = "11",
doi = "10.1103/PhysRevB.68.121301",
language = "English",
volume = "68",
pages = "121301 / 4 pages",
journal = "Physical Review B: Condensed Matter",
issn = "1550-235X",
publisher = "AMER PHYSICAL SOC",
number = "12",

}

RIS

TY - JOUR

T1 - Applicability of the ergodicity hypothesis to mesoscopic fluctuations.

AU - Tsyplyatyev, O.

AU - Aleiner, I. L.

AU - Falko, Vladimir

AU - Lerner, Igor V.

PY - 2003/9/11

Y1 - 2003/9/11

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevB.68.121301

DO - 10.1103/PhysRevB.68.121301

M3 - Journal article

VL - 68

SP - 121301 / 4 pages

JO - Physical Review B: Condensed Matter

JF - Physical Review B: Condensed Matter

SN - 1550-235X

IS - 12

ER -