Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-04-19
Phys. Rev. B 63, 075304 (2001).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages; 3 figures included
Scientific paper
10.1103/PhysRevB.63.075304
We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent equations for the correlators of local densities of occupied and empty states. When either the interactions are screened by the gate or the temperature, T, is high enough, so that the Coulomb gap is shallow, the perturbative solution of the system yields analytical expressions for the interaction-induced correction $\delta\nu(E)$ and the level-level correlator. We show that even with short-range interactions, $\delta\nu (E)$ exhibits a singular energy dependence at T=0. We also demonstrate that at high T this energy dependence is a universal function of the the ratio $E/T$. Regarding the level correlations, we trace how the correlator falls off as a function of spatial and energy separation between the levels. We also trace how the correlations vanish with increasing T. Our most noticeable observation is that for two close energies the correlator changes sign from positive (attraction) at small distances to negative (repulsion) at large distances.
Blanter Ya M.
Raikh Mikhail E.
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