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Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice
Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky
We study numerically the ground-state properties of the repulsive Hubbard model for spin-1/2 electrons on two-dimensional lattices with disordered on-site energies. The projector q…
Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model
Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky
We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum M…
Quantum Fractal Fluctuations
Giuliano Benenti, Giulio Casati, Italo Guarneri +1
We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase s…
Spin Polarized Ground State for Interacting Electrons in Two Dimensions
Giuliano Benenti, Gaetan Caldara, Dima L. Shepelyansky
We study numerically the ground state magnetization for clusters of interacting electrons in two dimensions in the regime where the single particle wavefunctions are localized by d…
Disordered Hubbard Model with Attraction: Coupling Energy of Cooper Pairs in Small Clusters
J. Lages, G. Benenti, D. L. Shepelyansky
We generalize the Cooper problem to the case of many interacting particles in the vicinity of the Fermi level in the presence of disorder. On the basis of this approach we study nu…
Magnetic Field Effect for Two Electrons in a Two Dimensional Random Potential
Giuliano Benenti, Dima L. Shepelyansky
We study the problem of two particles with Coulomb repulsion in a two-dimensional disordered potential in the presence of a magnetic field. For the regime, when without interaction…