Persistent currents for Coulomb interacting electrons on 2d disordered lattices: Sign and interaction dependence in the Wigner crystal regime

Details Persistent currents for Coulomb interacting electrons on 2d disordered lattices: Sign and interaction dependence in the Wigner crystal regime Persistent currents for Coulomb interacting electrons on 2d disordered lattices: Sign and interaction dependence in the Wigner crystal regime

2000-03-13

arxiv.org/abs/cond-mat/0003202v2

Eur. Phys. J. B 18, 137-148 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 4 figures, final version (introduction and discussion extended)

Scientific paper

10.1007/PL00011087

A Wigner crystal structure of the electronic ground state is induced by strong Coulomb interactions at low temperature in clean or disordered two-dimensional (2d) samples. For fermions on a mesoscopic disordered 2d lattice, being closed to a torus, we study the persistent current in the regime of strong interaction at zero temperature. We perform a perturbation expansion starting from the Wigner crystal limit which yields power laws for the dependence of the persistent current on the interaction strength. The sign of the persistent current in the strong interaction limit is independent of the disorder realization and strength. It depends only on the electro-statically determined configuration of the particles in the Wigner crystal.

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