Statistics of charge fluctuations in chaotic cavities
Abstract
We consider the zerofrequency fluctuations of the 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 semianalytically for chaotic cavities. Our result is universal in the sense that it describes not only the fluctuations of the charge but of any observable quantity inside the cavity. We discuss equilibrium and nonequilibrium 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.
 Publication:

Physical Review B
 Pub Date:
 June 2003
 DOI:
 10.1103/PhysRevB.67.235308
 arXiv:
 arXiv:condmat/0302138
 Bibcode:
 2003PhRvB..67w5308P
 Keywords:

 73.23.b;
 05.40.a;
 72.70.+m;
 24.60.k;
 Electronic transport in mesoscopic systems;
 Fluctuation phenomena random processes noise and Brownian motion;
 Noise processes and phenomena;
 Statistical theory and fluctuations;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 7 pages, 3 figures