VietNam 2013 

IXth Rencontres du Vietnam
Quy-Nhon, August 4-10, 2013

 QNplage

 Nanophysics: from fundamentals to applications

(the return)

 

Wednesday 7
Dots and wires

› 14:20 - 14:40 (20min)
Wigner time-delay distribution in chaotic cavities and freezing transition
Christophe Texier  1@  , Satya Majumdar  2@  
1 : Laboratoire de Physique Théorique et Modèles Statistiques  (LPTMS)  -  Website
Université Paris-Sud
LPTMS, Université Paris-Sud, 91405 Orsay -  France
2 : Laboratoire de Physique Théorique et Modèles Statistiques  (LPTMS)
Université Paris-Sud
LPTMS, Université Paris-Sud, 91405 Orsay -  France

The Wigner time delay is a useful concept capturing temporal aspects of a scattering process. It is also of great interest because it provides a measure of the density of states in the scattering region. In particular it was shown to be a central concept for describing charging effects in mesoscopic conductors (mesoscopic capacitance, etc). We analyse the statistical properties of the Wigner time delay in chaotic cavities within a random matrix theory approach. Using the joint distribution for proper time-delays (eigenvalues of the Wigner-Smith time-delay matrix) derived by Brouwer, Frahm & Beenakker [Phys. Rev. Lett. 78, 4737 (1997)], we obtain, in the limit of large number of conducting channels, the large deviation function for the distribution of the Wigner time-delay (the sum of proper times) by a Coulomb gas method. The distribution is shown to present a rich structure. In particular, we show that the existence of a power law tail originates from narrow resonance contributions, related to a (second order) freezing transition in the Coulomb gas.

* Reference: Christophe Texier & Satya N. Majumdar, Wigner time delay distribution in chaotic cavities and freezing transition, preprint cond-mat arXiv:1302.1881.


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