Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1996-12-12
Z. Phys. B 102, 545 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
RevTex, 5 figures, accepted for publication in Z. Phys. B
Scientific paper
10.1007/s002570050324
The effect of the Coulomb-interaction on persistent currents in disordered mesoscopic metal rings threaded by a magnetic flux $\phi$ is studied numerically. We use the simplest form of ``self-consistent'' Hartree theory, where the spatial variations of the self-consistent Hartree potential are ignored. In this approximation the self-consistent Hartree energies are simply obtained by diagonalizing the non-interacting system via the Lanczos method and then calculating the (disorder-dependent) particle number on the ring self-consistently. In the diffusive regime we find that the variance of the total particle number is strongly reduced, in agreement with the prediction of the random-phase approximation. On the other hand, the variance of the number of energy levels in a small interval below the Fermi energy is not affected by the Coulomb interaction.
Kopietz Peter
Voelker Axel
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