Integrable theory of quantum transport in chaotic cavities.
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 n 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-n limit that reveals long exponential tails in the otherwise Gaussian curve.
Osipov
Vladimir Al
VA
Department of Applied Mathematics, H.I.T.-Holon Institute of Technology, Holon, Israel.
Kanzieper
Eugene
E