https://doi.org/10.1007/PL00011087
Persistent currents for Coulomb interacting electrons on 2d disordered lattices
Sign and interaction dependence in the Wigner crystal regime
1
CEA, Service de Physique de l'État Condensé,
Centre d'Études de Saclay, 91191 Gif-sur-Yvette, France
2
Institut de Physique et Chimie des Matériaux de StrasbourgUMR 7504,
CNRS-ULP, 23 rue du Loess, 67037 Strasbourg, France
3
Institut für Physik, Universität Augsburg, 86135
Augsburg, Germany
Received:
14
March
2000
Published online: 15 November 2000
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.
PACS: 73.23.Ra – Persistent currents / 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.23.An – Theories and models; localized states
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
