Random matrix model for quantum dots with interactions and the conductance peak spacing distribution

被引：44

作者：

Alhassid, Y ^{[1
]}

Jacquod, P ^{[1
]}

Wobst, A ^{[1
]}

机构：

[1] Yale Univ, Ctr Theoret Phys, Sloane Phys Lab, New Haven, CT 06520 USA

来源：

PHYSICAL REVIEW B | 2000年 / 61卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.61.R13357

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We introduce a random interaction matrix model (RIMM) for finite-size strongly interacting fermionic systems whose single-particle dynamics is chaotic. The model is applied to Coulomb blockade quantum dots with irregular shape to describe the crossover of the peak spacing distribution from a Wigner-Dyson to a Gaussian-like distribution. The crossover is universal within the random matrix model and is shown to depend on a single parameter: a scaled fluctuation width of the interaction matrix elements. The crossover observed in the RIMM is compared with the results of an Anderson model with Coulomb interactions.

引用

页码：13357 / 13360

页数：4

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