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  Disordered mesoscopic systems with interactions: Induced two-body ensembles and the Hartree-Fock approach

Alhassid, Y., Weidenmüller, H. A., & Wobst, A. (2005). Disordered mesoscopic systems with interactions: Induced two-body ensembles and the Hartree-Fock approach. Physical Review A, 72: 045318. doi:10.1103/PhysRevB.72.045318.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-8897-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-8898-8
Genre: Journal Article

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 Creators:
Alhassid, Y.1, Author
Weidenmüller, Hans A.2, Author              
Wobst, A.1, Author
Affiliations:
1Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA Institut für Physik, Universität Augsburg, 86135 Augsburg, Germany, ou_persistent22              
2Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society, ou_907547              

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 Abstract: We introduce a generic approach to study interaction effects in diffusive or chaotic quantum dots in the Coulomb blockade regime. The randomness of the single-particle wave functions induces randomness in the two-body interaction matrix elements. We classify the possible induced two-body ensembles, both in the presence and absence of spin degrees of freedom. The ensembles depend on the underlying space-time symmetries as well as on features of the two-body interaction. Confining ourselves to spinless electrons, we then use the Hartree-Fock (HF) approximation to calculate HF single-particle energies and HF wave functions for many realizations of the ensemble. We study the statistical properties of the resulting one-body HF ensemble for a fixed number of electrons. In particular, we determine the statistics of the interaction matrix elements in the HF basis, of the HF single-particle energies (including the HF gap between the last occupied and the first empty HF level), and of the HF single-particle wave functions. We also study the addition of electrons, and in particular the distribution of the distance between successive conductance peaks and of the conductance peak heights.

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Language(s): eng - English
 Dates: 2005-07-08
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 285731
DOI: 10.1103/PhysRevB.72.045318
 Degree: -

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Title: Physical Review A
  Alternative Title : Phys. Rev. A
Source Genre: Journal
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Pages: - Volume / Issue: 72 Sequence Number: 045318 Start / End Page: - Identifier: -