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Using the negative U Hubbard model we analyze normal state properties of a superconductor. In this model there exists a characteristic pairing temperature T_P above a superconducting critical temperature. Below T_P electrons start to form…

Superconductivity · Physics 2009-11-07 Grzegorz Litak

Although effective for two dimensional (2D) systems, some approximations may fail in describing the properties of one-dimensional (1D) models, which belong to a different universality class. In this paper, we analyze the adequacy of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini , Maria del Mar Sanchez-Lopez

This is a short review of the theoretical work on the two-dimensional Hubbard model performed in Sherbrooke in the last few years. It is written on the occasion of the twentieth anniversary of the discovery of high-temperature…

Superconductivity · Physics 2009-11-11 A. -M. S. Tremblay , B. Kyung , D. Sénéchal

We study a two-band Hubbard model using the dynamical mean-field theory combined with the exact diagonalization method. At the electron density $n=2$, a transition from a band-insulator to a correlated semimetal occurs when the on-site…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ono , K. Sano

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

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto

Understanding competing instabilities in systems with correlated fermions remains one of the holy grails of modern condensed matter physics. Among the fermionic lattice models used to this effect, the extended Hubbard model occupies a prime…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , C. Dutreix , S. Biermann , E. A. Stepanov

We apply a wilsonian renormalization group approach to the system of electrons in a two-dimensional square lattice interacting near the saddle-points of the band, when the correlations at momentum ${\bf Q} = (\pi, \pi)$ prevail in the…

Strongly Correlated Electrons · Physics 2007-05-23 J. Gonzalez

We consider an extended Hubbard model with nearest-neighbor correlated hopping and next nearest-neighbor hopping t' obtained as an effective model for cuprate superconductors. Using a generalized Hartree-Fock BCS approximation, we find that…

Superconductivity · Physics 2009-10-31 Liliana Arrachea , A. A. Aligia

Superconducting mechanism mediated by interband exchange Coulomb repulsion is examined in an extended two-band Hubbard models with a wide band crossing the Fermi level and coexisting with a narrower band located at moderately lower energy.…

Superconductivity · Physics 2007-05-23 Masatoshi Imada

One novel arena for designing superconductors with high $T_C$ is the flat-band systems. A basic idea is that flat bands, arising from quantum mechanical interference, give unique opportunities for enhancing $T_C$ with (i) many…

Superconductivity · Physics 2020-08-03 Hideo Aoki

Fermi gases and liquids display an excitation spectrum that is simply connected, ensuring closed Fermi surfaces. In strongly correlated systems like the cuprate superconductors, the existence of open sheets of Fermi surface known as Fermi…

Strongly Correlated Electrons · Physics 2023-01-12 Johan Carlström

Deviations from Fermi liquid behavior are well documented in the normal state of the cuprate superconductors, and some of these differences seem to be related to pre-transitional features appearing at temperatures above T$_c$. The…

Strongly Correlated Electrons · Physics 2007-05-23 M. Letz

We study the Hubbard model with parameters relevant to the cuprates, using variational Monte Carlo with projected d-wave states. For doping 0 < x < 0.35 we obtain a superconductor whose order parameter tracks the observed nonmonotonic…

Superconductivity · Physics 2009-11-07 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

We apply an exact diagonalization method to the the infinite-D two-band Hubbard model. The method is essentially exact for the calculation of thermodynamic properties for all but the smallest frequencies and yields a resolution unavailable…

Condensed Matter · Physics 2007-05-23 Werner Krauth , Michel Caffarel

The interplay between magnetic and superconducting states on a square lattice is studied using the extended Hubbard model, which takes into account the attraction of electrons located at nearest neighbor sites. Ferro-, antiferro-, and…

Strongly Correlated Electrons · Physics 2022-07-20 V. F. Gilmutdinov , M. A. Timirgazin , A. K. Arzhnikov

Using renormalization group and exact diagonalization of small clusters we investigate the ground state phase diagram of a two-dimensional extended Hubbard model with nearest-neighbor exchange interaction J, in addition to the local Coulomb…

Superconductivity · Physics 2009-11-10 Liliana Arrachea , Drazen Zanchi

One-particle spectral properties in the normal phase of the two-dimensional attractive Hubbard model are investigated in the weak coupling regime using the non-selfconsistent T-matrix approximation. The corresponding equations are evaluated…

Superconductivity · Physics 2009-10-31 Daniel Rohe , Walter Metzner

This article is a review o over theory of superconductivity, which is constructed for systems with two overlapping energy bands at the Fermi surface and with arbitrary charge carrier density.There is taken into account all possible kinds of…

Superconductivity · Physics 2007-05-23 M. E. Palistrant