Compressibility crossover and quantum opening of a gap for two-dimensional disordered clusters with Coulomb repulsion |
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Authors: | G Benenti X Waintal J-L Pichard DL Shepelyansky |
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Institution: | (1) CEA, Service de Physique de l'état Condensé, Centre d'études de Saclay, 91191 Gif-sur-Yvette, France, FR;(2) Laboratoire de Physique Quantique (UMR C5626 du CNRS), Université Paul Sabatier, 31062 Toulouse, France, FR |
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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/L
2 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 .
Received 13 March 2000 |
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Keywords: | PACS 71 30 +h Metal-insulator transitions and other electronic transitions - 72 15 Rn Localization effects (Anderson or weak localization) |
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