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

Journal Article · Mon May 15 00:00:00 EDT 2000 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.61.R13357· OSTI ID:20216569

Alhassid, Y ^[1]; Jacquod, Ph ^[1]; Wobst, A ^[1]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520 (United States)

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. (c) 2000 The American Physical Society.

• OSTI ID: 20216569
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 61, Issue 20; Other Information: PBD: 15 May 2000; ISSN 1098-0121
• Country of Publication: United States
• Language: English

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