Abstract
The problem of quantum transport in chaotic cavities with broken time-reversal symmetry is shown to be completely integrable in the universal limit. This observation is utilized to determine the cumulants and the distribution function of conductance for a cavity with ideal leads supporting an arbitrary number of propagating modes. Expressed in terms of solutions to the fifth Painlevé transcendent and/or the Toda lattice equation, the conductance distribution is further analyzed in the large- limit that reveals long exponential tails in the otherwise Gaussian curve.
- Received 17 June 2008
DOI:https://doi.org/10.1103/PhysRevLett.101.176804
©2008 American Physical Society