Scaling at the chaos threshold in an interacting quantum dot

Details Scaling at the chaos threshold in an interacting quantum dot Scaling at the chaos threshold in an interacting quantum dot

1999-11-29

arxiv.org/abs/cond-mat/9911459v1

Phys.Rev.Lett. 84, 3414 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages including 2 figures

Scientific paper

10.1103/PhysRevLett.84.3414

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.

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