Quantum opening of the Coulomb gap in two dimensions

Details Quantum opening of the Coulomb gap in two dimensions Quantum opening of the Coulomb gap in two dimensions

1999-03-22

arxiv.org/abs/cond-mat/9903339v2

Physics

Condensed Matter

revtex, 4 pages, 4 figures

Scientific paper

For a constant density of spinless fermions in strongly disordered two dimensional clusters, the energy level spacing between the ground state and the first excitation is studied for increasing system sizes. The average indicates a smooth opening of the gap when the Coulomb energy to Fermi energy ratio $r_s$ increases from 0 to 3, while the distribution exhibits a sharp Poisson-Wigner-like transition at $r_s \approx 1$. The results are related to the transition from Mott to Efros-Shklovskii hopping conductivity recently observed at a similar ratio $r_s$.

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