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Compressibility crossover and quantum opening of a gap for two-dimensional disordered clusters with Coulomb repulsion

  • G. Benenti
  • X. Waintal
  • J.-L. Pichard
  • D.L. Shepelyansky

Abstract:

Using Hartree-Fock orbitals with residual Coulomb repulsion, we study spinless fermions in a two-dimensional random potential. When we increase the system size L at fixed particle density, the size dependence of the average inverse compressibility exhibits a smooth crossover from a 1/L2 towards a 1/L decay when the Coulomb energy to Fermi energy ratio \(\) increases from 0 to 3. In contrast, the distribution of the first energy excitation displays a sharp Poisson-Wigner-like transition at \(\).

PACS. 71.30.+h Metal-insulator transitions and other electronic transitions - 72.15.Rn Localization effects (Anderson or weak localization) 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • G. Benenti
    • 1
  • X. Waintal
    • 1
  • J.-L. Pichard
    • 1
  • D.L. Shepelyansky
    • 2
  1. 1.CEA, Service de Physique de l'État Condensé, Centre d'Études de Saclay, 91191 Gif-sur-Yvette, FranceFR
  2. 2.Laboratoire de Physique Quantique (UMR C5626 du CNRS), Université Paul Sabatier, 31062 Toulouse, FranceFR

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