Séminaire du LPTMS: Christophe Texier


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Distribution du temps de Wigner dans des cavités chaotiques

Christophe Texier, LPTMS

The Wigner time delay captures temporal aspect of the scattering process. Due to its relation with the density of states of the open system (here a chaotic cavity), it is also of great interest for the study of coherent electronic transport in mesoscopic devices.
Using the joint distribution for proper time-delays of a chaotic cavity derived by Brouwer, Frahm & Beenakker [Phys. Rev. Lett. 78, 4737 (1997)], we obtain, in the limit of large number of channels N, the large deviation function for the distribution of the Wigner time-delay (the sum of proper times) by a Coulomb gas method.
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.

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