Scaling at the chaos threshold in an interacting quantum dot

Leyronas, X.; Silvestrov, P. G.; Beenakker, C. W. J.

Scaling at the chaos threshold in an interacting quantum dot

Authors

Leyronas, X.

Silvestrov, P. G.

Beenakker, C. W. J.

Description

The chaotic mixing by random two-body interactions of many-electron Fock states in a confined geometry is investigated numerically and compared with analytical predictions. Two distinct regimes are found in the dependence of the inverse participation ratio in Fock space I on the dimensionless conductance of the quantum dot g and the excitation energy E. In both regimes I>>1, but only the small-g regime is described by the golden rule. The crossover region is characterized by a maximum in a scaling function that becomes more pronounced with increasing excitation energy. The scaling parameter that governs the transition is (E/g)ln g.
4 pages including 2 figures