Statistics of Coulomb Blockade Peak Spacings within the Hartree-Fock Approximation

Details Statistics of Coulomb Blockade Peak Spacings within the Hartree-Fock Approximation Statistics of Coulomb Blockade Peak Spacings within the Hartree-Fock Approximation

1999-02-25

arxiv.org/abs/cond-mat/9902342v1

Phys. Rev. B 60, 2536 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures, submitted for publication

Scientific paper

10.1103/PhysRevB.60.2536

We study the effect of electronic interactions on the addition spectra and on the energy level distributions of two-dimensional quantum dots with weak disorder using the self-consistent Hartree-Fock approximation for spinless electrons. We show that the distribution of the conductance peak spacings is Gaussian with large fluctuations that exceed, in agreement with experiments, the mean level spacing of the non-interacting system. We analyze this distribution on the basis of Koopmans' theorem. We show furthermore that the occupied and unoccupied Hartree-Fock levels exhibit Wigner-Dyson statistics.

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