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

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

2000-03-13

arxiv.org/abs/cond-mat/0003208v1

Eur. Phys. J. B 17, 515 (2000)

Physics

Condensed Matter

8 pages, 9 figures

Scientific paper

10.1007/s100510070129

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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