426 citations · 5.6k across the 221 of their papers we have counts for
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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…
Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study analytically and numerically the one-dimensional quantum Frenkel-Kontorova chain in the regime when the classical model is located in the pinned phase characterized by the…
To the problem of Poincare recurrences in generic Hamiltonian systems
B. V. Chirikov, D. L. Shepelyansky
We discuss the problem of Poincare recurrences in area-preserving maps and the universality of their decay at long times. The work is related to to the results presented in Refs. […
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…
Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study numerically and analytically the classical one-dimensional Frenkel-Kontorova chain in the regime of pinned phase characterized by phonon gap. Our results show the existenc…
Phase of bi-particle localized states for the Cooper problem in two-dimensional disordered systems
J. Lages, D. L. Shepelyansky
The Cooper problem is studied numerically for the Anderson model with disorder in two-dimensions. It is shown that the attractive Hubbard interaction creates a phase of bi-particle…