Scrambling of Hartree-Fock levels as a universal Brownian-motion process

Article

关键词: PARAMETRIC CORRELATIONS;    CHAOTIC SYSTEMS;    ELECTRONS;   

DOI  :  10.1103/PhysRevB.76.193110

来源: SCIE

【 摘 要 】

We study scrambling of the Hartree-Fock single-particle levels and wave functions as electrons are added to an almost-isolated diffusive or chaotic quantum dot with electron-electron interactions. We use the generic framework of the induced two-body ensembles, where the randomness of the two-body interaction matrix elements is induced by the randomness of the eigenfunctions of the chaotic or diffusive single-particle Hamiltonian. After an appropriate scaling of the number of added electrons, the scrambling behaviors of both the Hartree-Fock levels and wave functions are each described by a universal function. These functions can be derived from a parametric random-matrix process of the Brownian-motion type. An exception to this universality occurs when an empty level gets filled, in which case scrambling is delayed by one electron. An explanation of these results is given in terms of a generalized Koopmans' approach.

【 授权许可】

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