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The square-lattice Hubbard and closely related $t$-$J$ models are considered as basic paradigms for understanding strong correlation effects and unconventional superconductivity (SC). Recent large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-02-12 Xin Lu , Feng Chen , W. Zhu , D. N. Sheng , Shou-Shu Gong

We investigate the properties and the microscopic structure of superconductivity (SC), coexisting and sharing the common conducting band with density wave (DW). Such coexistence may take place when the nesting of the Fermi surface (FS) is…

Superconductivity · Physics 2009-11-13 P. D. Grigoriev

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report…

Strongly Correlated Electrons · Physics 2025-11-25 Hong-Chen Jiang , Thomas P. Devereaux , Steven A. Kivelson

The three-band Emery model is applied to study the selected principal features of the $d$-$wave$ superconducting phase in the copper-based compounds. The electron-electron correlations are taken into account by the use of the diagrammatic…

Superconductivity · Physics 2021-09-01 M Zegrodnik , A Biborski , M. Fidrysiak , J Spałek

Two-dimensional t-J model is studied by a variational Monte Carlo method, using Gutzwiller-Jastrow-type wave functions. Various kinds of superconducting pairing symmetries are compared in order to determine the phase diagram of the ground…

Condensed Matter · Physics 2009-10-28 Hisatoshi Yokoyama , Masao Ogata

We investigate the electronic states of a one-dimensional two-orbital Hubbard model with band splitting by the exact diagonalization method. The Luttinger liquid parameter $K_{\rho}$ is calculated to obtain superconducting (SC) phase…

Strongly Correlated Electrons · Physics 2009-12-14 Kazuhiro Sano , Yoshiaki Ono

The d-wave superconductivity (dSC) and antiferromagnetism are analytically studied in a renormalized mean field theory for a two dimensional t-J model plus an on-site repulsive Hubbard interaction $U$. The purpose of introducing the $U$…

Superconductivity · Physics 2009-11-10 Feng Yuan , Qingshan Yuan , C. S. Ting , T. K. Lee

We present the full Gutzwiller-wave-function solution of the Anderson lattice model in two dimensions that leads to the correlation-driven multigap superconducting (SC) ground state with the dominant $d_{x^2-y^2}$-wave symmetry. The results…

Strongly Correlated Electrons · Physics 2017-01-11 M. M. Wysokiński , J. Kaczmarczyk , J. Spałek

The Hubbard and closely related $t\text-J$ models are exciting platforms for unconventional superconductivity (SC). Through state-of-the-art density matrix renormalization group calculations using the grand canonical ensemble, we address…

Superconductivity · Physics 2025-03-28 Feng Chen , F. D. M. Haldane , D. N. Sheng

Motivated by the phenomenology of the high-Tc cuprates, a two dimensional fermionic model with attractive interactions is here discussed. The exact solution to the two particle problem leads to a bound state in the $d_{x^2 - y^2}$ subspace.…

Condensed Matter · Physics 2008-02-03 Alexander Nazarenko , Adriana Moreo , Jose Riera , Elbio Dagotto

We investigate the ionic Hubbard model (IHM) at half-filling in the limit of strong correlations and large ionic potential. The low energy effective Hamiltonian in this limit, obtained by a similarity transformation, is a modified $t-J$…

Strongly Correlated Electrons · Physics 2019-04-24 Anwesha Chattopadhyay , Soumen Bag , H. R. Krishnamurthy , Arti Garg

A qualitative model describing the ground state and the mechanism of superconducting pairing in Cu- and Fe-based high-temperature superconductors (HTSCs) is suggested. In this model, doping by localized charges (as well as physical or…

Superconductivity · Physics 2012-04-24 K. V. Mitsen , O. M. Ivanenko

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in…

Strongly Correlated Electrons · Physics 2014-01-21 Andreas Eberlein , Walter Metzner

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

We investigate the properties of cuprate superconductors subject to applied current, using modified Gutzwiller projected d-wave BCS states. The parent states include quasiparticle and quasihole pockets, of variationally determined size,…

Superconductivity · Physics 2010-07-15 Lilach Goren , Ehud Altman

We provide a quasi-one-dimensional model which can support a pair-density-wave (PDW) state, in which the superconducting (SC) order parameter modulates periodically in space, with gapless Bogoliubov quasiparticle excitations. The model…

Strongly Correlated Electrons · Physics 2015-05-07 Rodrigo Soto-Garrido , Gil Young Cho , Eduardo Fradkin

Quasi-two-dimensional molecular conductor $\lambda$-(BETS)$_2$GaCl$_4$ shows superconductivity (SC) below 5.5K, neighboring the dimer-type Mott insulating phase. To elucidate the origin of SC and its gap function, we carry out…

Superconductivity · Physics 2018-08-01 Hirohito Aizawa , Takashi Koretsune , Kazuhiko Kuroki , Hitoshi Seo

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

We study extended Hubbard model on a triangular lattice near doping $x=1/3$, which may be relevant for the recently discovered superconductor Na$_x$CoO$_2 \cdot y$H$_2$O. By generalizing this model to $N$ fermionic species, we formulate a…

Strongly Correlated Electrons · Physics 2009-11-10 O. I. Motrunich , Patrick A. Lee

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