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Statistics of Charge Fluctuations in Chaotic Cavities

Contributors

Pilgram, Sebastian; Buttiker, Markus

Published in

Physical review. B, Condensed matter and materials physics, vol. 67, no. 23, p. 235308.1-235308.7

Publication date

2003

Abstract

We consider the zero frequency fluctuations of charge inside a mesoscopic conductor in the large capacitance limit. In analogy to current counting statistics we derive the characteristic function of charge fluctuations in terms of the scattering matrix of the conductor. Using random matrix theory we evaluate the characteristic function semi-analytically for chaotic cavities. Our result is universal in the sense that it describes not only the fluctuations of charge, but of any observable quantity inside the cavity. We discuss equilibrium and non-equilibrium fluctuations and extend our theory to the case of contacts with arbitrary transparency. Finally we investigate the suppression of fluctuations in the small capacitance limit due to charge screening.

Keywords

  • Mesoscopic systems and quantum hall effect
  • Condensed matter

UNIGE affiliation entities

Citation (ISO format)

PILGRAM, Sebastian, BUTTIKER, Markus. Statistics of Charge Fluctuations in Chaotic Cavities. In: Physical review. B, Condensed matter and materials physics, 2003, vol. 67, n° 23, p. 235308.1–235308.7. doi: 10.1103/PhysRevB.67.235308

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Article

Identifiers

Journal ISSN

1098-0121
609views
587downloads

Technical informations

Creation

30/11/2009 15:07:55

First validation

30/11/2009 15:07:55

Update

14/03/2023 15:18:09

Status update

14/03/2023 15:18:09

Last indexation

29/10/2024 12:37:29
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