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Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

We analyze the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LP's) in the 2D asymmetric attractive Hubbard model, in the presence of the Zeeman magnetic field ($h$). The broken…

Strongly Correlated Electrons · Physics 2013-09-27 Agnieszka Kujawa-Cichy

In this work, we adapt the formalism of the dynamical vertex approximation (D$\Gamma$A), a diagrammatic approach including many-body correlations beyond the dynamical mean-field theory, to the case of attractive onsite interactions. We…

Strongly Correlated Electrons · Physics 2021-07-13 Lorenzo Del Re , Massimo Capone , Alessandro Toschi

We study s-wave superconductivity in the two-dimensional square lattice attractive Hubbard Hamiltonian for various inhomogeneous patterns of interacting sites. Using the Bogoliubov-de Gennes (BdG) mean field approximation, we obtain the…

Superconductivity · Physics 2009-11-13 K. Aryanpour , T. Paiva , W. E. Pickett , R. T. Scalettar

We study the effect of U=0 impurities on the superconducting and thermodynamic properties of the attractive Hubbard model on a square lattice. Removal of the interaction on a critical fraction of $f_{\rm crit} \approx 0.30$ of the sites…

We have considered the half-filled disordered attractive Hubbard model on a square lattice, in which the on-site attraction is switched off on a fraction $f$ of sites, while keeping a finite $U$ on the remaining ones. Through Quantum Monte…

Superconductivity · Physics 2009-11-13 Felipe Mondaini , Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

Strongly Correlated Electrons · Physics 2020-08-11 Roman Rausch , Matthias Peschke

Understanding the phases of strongly correlated quantum matter is challenging because they arise from the subtle interplay between kinetic energy, interactions, and dimensionality. In this quest it has turned out that even conceptually…

We study the two-orbital Hubbard model in the limit of vanishing kinetic energy. The phase diagram in the $V-J$ plane, with $V$ and $J$ denoting the interorbital hybridization and exchange coupling respectively, at half filling is obtained.…

Strongly Correlated Electrons · Physics 2018-04-09 A. Avella , F. Mancini , G. Scelza , S. Chaturvedi

The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena. Here by solving the thermodynamic Bethe ansatz equations we…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yi-Song Yu , Murray T Batchelor , Xi-Wen Guan

(abbreviated) This article considers recent advances in the investigation of the thermal and magnetic properties of integrable spin ladder models and their applicability to the physics of real compounds. The ground state properties of the…

Statistical Mechanics · Physics 2009-06-20 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. Tsuboi

We present an investigation of the 2D attractive Hubbard model, considered as an effective model relevant to superconductivity in strongly interacting electron systems. We use both hybrid Monte Carlo simulations and existing hopping…

Strongly Correlated Electrons · Physics 2008-02-03 R. Lacaze , A. Morel , B. Petersson , J. Schroper

We use thermodynamic Bethe ansatz to study nonrelativistic scattering theory of low energy excitations of 1D Hubbard model, using the $S$-matrices proposed by E\ss ler and Korepin. This model can be described by two types of excitation…

High Energy Physics - Theory · Physics 2010-02-05 Changrim Ahn , Kong-Ju-Bock Lee , Soonkeon Nam

The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this…

Superconductivity · Physics 2007-08-07 A. Toschi , P. Barone , M. Capone , C. Castellani

The influence of a Zeeman magnetic field on the superconducting characteristics of the attractive Hubbard model was investigated. The ground state and temperature phase diagrams were obtained for a fixed number of particles. Two critical…

Strongly Correlated Electrons · Physics 2009-02-24 Agnieszka Kujawa , Roman Micnas

A simple effective model of charge ordered and (or) magnetically ordered insulators is studied. The tight binding Hamiltonian analyzed consists of (i) the effective on-site interaction U, (ii) the intersite density-density interaction W and…

Strongly Correlated Electrons · Physics 2023-07-19 Konrad Kapcia , Waldemar Kłobus , Stanisław Robaszkiewicz

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

Ground state properties of the repulsive Hubbard model on a cubic lattice are investigated by means of the auxiliary-field quantum Monte Carlo method. We focus on low-density systems with varying on-site interaction $U/t$, as a model…

Quantum Gases · Physics 2010-12-30 Chia-Chen Chang , Shiwei Zhang , David M. Ceperley

The Hubbard model describes a lattice system of quantum particles with local (on-site) interactions. Its free energy is analytic when \beta t is small, or \beta t^2/U is small; here, \beta is the inverse temperature, U the on-site repulsion…

Statistical Mechanics · Physics 2015-06-25 Daniel Ueltschi