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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 quantum Monte Carlo method is used to obtain very accurate…

Condensed Matter · Physics 2009-11-10 Bhargavi Srinivasan , Giuliano Benenti , Dima 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 localized states in the regime where non-interacting states…

Condensed Matter · Physics 2009-11-07 J. Lages , D. L. Shepelyansky

The nature of delocalization in a 1D system ruled by a tight-binding Hamiltonian is investigated. Using a local evaluation of the ground state energy, it is shown that the range of the delocalization effects is rather limited. The method is…

Strongly Correlated Electrons · Physics 2007-05-23 Arnaud Boullanger , Vincent Robert

A trial wave function is proposed for studying the instability of the two-dimensional Hubbard model with respect to d-wave superconductivity. Double occupancy is reduced in a similar way as in previous variational studies, but in addition…

Strongly Correlated Electrons · Physics 2009-11-11 David Eichenberger , Dionys Baeriswyl

The localization length $L_2$ of two interacting particles in a one-dimensional disordered system is studied for very large system sizes by two efficient and accurate variants of the Green function method. The numerical results (at the band…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Klaus M. Frahm

We study numerically the effect of on-site Hubbard interaction U between two electrons in the quasiperiodic Harper's equation. In the periodic chain limit by mapping the problem to that of one electron in two dimensions with a diagonal line…

Disordered Systems and Neural Networks · Physics 2009-10-30 S. N. Evangelou , D. E. Katsanos

Much evidence has been collected to date which shows that repulsive electron-electron interaction can lead to the formation of particle pairs in a one-dimensional random energy landscape. The localization length \lambda_2 of these pair…

Disordered Systems and Neural Networks · Physics 2017-09-27 R. A. Roemer , M. Leadbeater , M. Schreiber

The fate of a local two-hole doublon excitation in the one-dimensional Fermi-Hubbard model is systematically studied for strong Hubbard interaction U in the entire filling range using the density-matrix renormalization group (DMRG) and the…

Strongly Correlated Electrons · Physics 2017-02-02 Roman Rausch , Michael Potthoff

We study a one-dimensional Anderson model in which one site interacts with a detector monitoring the occupation of that site. We demonstrate that such an interaction, no matter how weak, leads to total delocalization of the Anderson model,…

Condensed Matter · Physics 2009-10-31 S. A. Gurvitz

We study the suppression of electron localization due to the screening of disorder in a Hubbard-Anderson model. We focus on the change of the electron localization length at the Fermi level within a static picture, where interactions are…

Disordered Systems and Neural Networks · Physics 2012-02-07 P. Henseler , J. Kroha , B. Shapiro

In one dimension, any disorder is traditionally believed to localize all states. We show that this paradigm breaks down under hyperuniform disorder, which suppresses long-wavelength fluctuations and interpolates between random and periodic…

Disordered Systems and Neural Networks · Physics 2025-09-30 Junmo Jeon , Harukuni Ikeda , Shiro Sakai

This paper is part of a broader study whose main goal is the study of the finite-energy spectral properties of the non-perturbative one-dimensional (1D) Hubbard model and the evaluation of finite-energy correlation-function expressions.…

Strongly Correlated Electrons · Physics 2009-11-10 J. M. P. Carmelo , P. D. Sacramento

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 all states are well localized, it is shown that above a…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Dima L. Shepelyansky

Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional system then all excitations are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander L. Burin

We consider long-range correlated disorder and mutual interacting particles according to a dipole-dipole coupling as modifications to the one-dimensional Anderson model. Technically we rely on the (numerical) exact diagonalization of the…

Quantum Gases · Physics 2012-01-11 Conrad Albrecht , Sandro Wimberger

We consider a continuous one dimensional model of two charged interacting particles in a random potential. The electric repulsion is strictly one dimensional and it inhibits Anderson localization. In fact, the spectrum is continuous. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. C. Flores

Motivated by the recent experiments that reported signatures of many-body localization of ultracold atoms in optical lattices [M. Schreiber {\it et al.}, Science {\bf 349}, 842 (2015)], we study dynamics of highly excited states in the…

Strongly Correlated Electrons · Physics 2019-03-13 Ivan Protopopov , Dmitry Abanin

We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find…

Quantum Gases · Physics 2020-10-16 Filippo Stellin , Giuliano Orso

Dynamic Hubbard models have been proposed as extensions of the conventional Hubbard model to describe the orbital relaxation that occurs upon double occupancy of an atomic orbital. These models give rise to pairing of holes and…

Superconductivity · Physics 2009-11-07 J. E. Hirsch

The mechanism of f-electron delocalization is investigated within the multi-orbital Anderson lattice model by means of diagrammatic perturbation theory from the atomic limit. The derived equations couple the intra-atomic transition…

Strongly Correlated Electrons · Physics 2009-11-07 U. Lundin , I. Sandalov , O. Eriksson , B. Johansson
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