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

Giuliano Benenti·Xavier Waintal·Jean-Louis Pichard·Dima Shepelyansky
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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 $r_s$ increases from 0 to 3. In contrast, the distribution of the first energy excitation displays a sharp Poisson-Wigner-like transition at $r_s \approx 1$.

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Giuliano Benenti, Xavier Waintal, Jean-Louis Pichard, Dima Shepelyansky. 2000-03-13. Compressibility crossover and quantum opening of a gap for two dimensional disordered clusters with Coulomb repulsion. https://doi.org/10.1007/s100510070129

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