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 .
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Received 13 March 2000
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Benenti, G., Waintal, X., Pichard, JL. et al. Compressibility crossover and quantum opening of a gap for two-dimensional disordered clusters with Coulomb repulsion. Eur. Phys. J. B 17, 515–521 (2000). https://doi.org/10.1007/s100510070129
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DOI: https://doi.org/10.1007/s100510070129