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We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the $t$-$J$ model as a special case. The model…

Condensed Matter · Physics 2008-11-26 Fabian H. L. Essler , Vladimir E. Korepin , Kareljan Schoutens

We study the problem of the phonon-induced electron-electron interaction in a solid. Starting with a Hamiltonian that contains an electron-phonon interaction, we perform a similarity renormalization transformation to calculate an effective…

Superconductivity · Physics 2009-10-28 Andreas Mielke

We derive a Kondo Lattice model with a correlated conduction band from a two-band Hubbard Hamiltonian. This mapping allows us to describe the emergence of a robust pairing mechanism in a model that only contains repulsive interactions. The…

Strongly Correlated Electrons · Physics 2015-05-13 K. A. Al-Hassanieh , C. D. Batista , P. Sengupta , A. E. Feiguin

The existence of more than one solution for s-wave pairing in the extended Hubbard model is not often realized. This possibility was noted by Friedberg et al. [Phys. Rev B50, 10190 (1994)] in the case of two electrons on a lattice, without…

Superconductivity · Physics 2007-05-23 M. Bak

Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. However, when a direct…

Superconductivity · Physics 2022-05-24 F. Marsiglio

We start from a Hamiltonian describing non-interacting fermions and add bosons to the model, with a Jaynes-Cummings-like interaction between the bosons and fermions. Because of the specific form of the interaction the model can be solved…

Strongly Correlated Electrons · Physics 2015-05-18 Tobias Verhulst , Jan Naudts

The Roth's two-pole approximation has been used by the present authors to study the effects of the hybridization in the superconducting properties of a strongly correlated electron system. The model used is the extended Hubbard model which…

Strongly Correlated Electrons · Physics 2016-08-16 E. J. Calegari , S. G. Magalhães , A. A. Gomes

Electron pairing is central to modern concepts of superconductivity, and provides a basis for the ubiquitous presence of h/2e in the theory and phenomenology. However, the lack of a consistent real-space picture of phonon-mediated pairing…

Superconductivity · Physics 2009-09-17 Alan M. Kadin

Edge states reveal the nontrivial topology of energy band in the bulk. As localized states at boundaries, many-body edge states may obey a special symmetry that is broken in the bulk. When local particle-particle interaction is induced,…

Strongly Correlated Electrons · Physics 2021-11-25 K. L. Zhang , Z. Song

In this work we study a two-band model of a superconductor in a square lattice. One band is narrow in energy and includes local Coulomb correlations between its quasi-particles. Pairing occurs in this band due to nearest neighbor attractive…

Superconductivity · Physics 2019-07-03 Daniel Reyes , Nei Lopes , Mucio A. Continentino , Christopher Thomas

We present the derivation of an ab-initio and parameter free effective electron-electron interaction that goes beyond the screened RPA and accounts for superconducting pairing driven by spin-fluctuations. The construction is based on many…

Superconductivity · Physics 2015-06-23 F. Essenberger , A. Sanna , A. Linscheid , F. Tandetzky , G. Profeta , P. Cudazzo , E. K. U. Gross

We present a class of exactly solvable models of correlated electrons. The models are defined in any dimension $d$ and consist of electron-hopping terms and local attractive interactions between electrons. For each even number of electrons…

Strongly Correlated Electrons · Physics 2009-11-10 Akinori Tanaka

The electric and magnetic polarizations as well as the electric and magnetic susceptibilities of the Hubbard pair-cluster embedded in the external fields were studied by the exact method. Based on the grand canonical ensemble for open…

Strongly Correlated Electrons · Physics 2018-08-28 T. Balcerzak , K. Szałowski

First, it is shown that the creation of the spinless ion pairs in the lattice, which are hold by the binding with neighbor ion pairs together regarded as covalent. These ion pairs are created by the repulsive potential interaction of two…

General Physics · Physics 2009-02-13 V. N. Minasyan

In a system where selective Mott localization is realized, some electrons show a gap to charge excitations while others do not. A hybridization between these two kind of electrons will lead to a smoothening of this sharp difference and can…

Strongly Correlated Electrons · Physics 2014-03-05 E. A. Winograd , L. de' Medici

Coupling between electrons and phonons (lattice vibrations) drives the formation of the electron pairs responsible for conventional superconductivity. The lack of direct evidence for electron-phonon coupling in the electron dynamics of the…

A new model with a new Hamiltonian is offered as the means for studying properties of a system of strongly correlated electrons. Consideration of the simplest possible situation, namely a system on non-interacting electrons in a two-leg…

General Physics · Physics 2018-01-30 Valentin Voroshilov

We present recent theoretical results on superconductivity in correlated-electron systems, especially in the two-dimensional Hubbard model and the three-band d-p model. The mechanism of superconductivity in high-temperature superconductors…

Strongly Correlated Electrons · Physics 2013-07-10 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

The formation of electron pairs is a prerequisite of superconductivity. The fermionic nature of electrons yields four classes of superconducting correlations with definite symmetry in spin, space and time. Here, we suggest double quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Björn Sothmann , Stephan Weiss , Michele Governale , Jürgen König

We deal with a model for high-temperature superconductivity which maintains that in cuprates electrons running in the copper oxide layers, found in lattice of these materials, form spin-singlet bonds with electrons running in the…

Superconductivity · Physics 2007-05-23 P. Brovetto , V. Maxia