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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 present an exact, unconstrained representation of the electron operators in terms of operators of opposite statistics. We propose a path--integral representation for the $t$-$J$ model and introduce a parameter controlling the…

Condensed Matter · Physics 2009-10-22 Antimo Angelucci

Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto

We propose a new approach to the self-consistency equation, which arises in the problem of the motion of a hole in a quantum antiferromagnet, appropriate to the case of small exchange energy $J$. The functional equation for the Green…

Strongly Correlated Electrons · Physics 2007-05-23 Ekaterina Grancharova

The localized (particle-like) correlated electrons deserve particular attention as they govern various exotic quantum phenomena, such as quantum spin liquids, Wigner crystals, and Mott insulators in correlated systems. However, direct…

Strongly Correlated Electrons · Physics 2025-07-09 Yanyan Geng , Haoyu Dong , Renhong Wang , Zilu Wang , Jianfeng Guo , Shuo Mi , Yan Li , Fei Pang , Rui Xu , Li Huang , Hong-Jun Gao , Wei Ji , Shancai Wang , Weichang Zhou , Zhihai Cheng

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented within the extended t-J-V model where the intersite Coulomb repulsion and the electron-phonon interaction are taken into account.…

Strongly Correlated Electrons · Physics 2021-07-14 Nguen Dan Tung , Artem Vladimirov , Nikolay M. Plakida

A number of recent experiments have highlighted a remarkable transformation of a large cuprate Fermi surface into small pockets in the underdoped region signalling a breakdown of a conventional Fermi liquid theory in the PG phase. A few…

Strongly Correlated Electrons · Physics 2017-12-06 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov

The coexistence of antiferromagnetism with superconductivity is studied theoretically within the t-J model with the Zeeman term included. The strong electron correlations are accounted for by means of the extended Gutzwiller projection…

Strongly Correlated Electrons · Physics 2011-12-09 Jan Kaczmarczyk , Jozef Spałek

The strong-interaction limit of the Hohenberg-Kohn functional defines a multimarginal optimal transport problem with Coulomb cost. From physical arguments, the solution of this limit is expected to yield strictly-correlated particle…

Strongly Correlated Electrons · Physics 2017-02-17 Michael Seidl , Simone Di Marino , Augusto Gerolin , Luca Nenna , Klaas J. H. Giesbertz , Paola Gori-Giorgi

A strong-coupling expansion for models of correlated electrons in any dimension is presented. The method is applied to the Hubbard model in $d$ dimensions and compared with numerical results in $d=1$. Third order expansion of the Green…

Strongly Correlated Electrons · Physics 2009-10-30 Stéphane Pairault , David Sénéchal , A. -M. S. Tremblay

We review application of the SU(4) model of strongly-correlated electrons to cuprate and iron-based superconductors. A minimal self-consistent generalization of BCS theory to incorporate antiferromagnetism on an equal footing with pairing…

Superconductivity · Physics 2020-04-07 Mike Guidry , Yang Sun , Lian-Ao Wu , Cheng-Li Wu

Using computational techniques, it is shown that pairing is a robust property of hole doped antiferromagnetic (AF) insulators. In one dimension (1D) and for two-leg ladder systems, a BCS-like variational wave function with long-bond…

Strongly Correlated Electrons · Physics 2009-11-07 S. Sorella , G. B. Martins , F. Becca , C. Gazza , L. Capriotti , A. Parola , E. Dagotto

We discuss the possible existence of a spin-gap phase in the low-doping regime of strongly-correlated two-dimensional electrons within the gauge field description of the t-J model. The spin-gap phase was recently shown by Ubbens and Lee to…

Condensed Matter · Physics 2009-10-28 P. Lederer , Elihu Abrahams

The feasibility of a perturbation expansion for Green's functions of the t-J model directly in terms of X-operators is demonstrated using the Baym- Kadanoff functional method. As an application we derive explicit expressions for the kernel…

Superconductivity · Physics 2009-10-31 R. Zeyher , A. Greco

In this work, we study the t-J model using a two-pole approximation within the composite operator method. We choose a basis of two composite operators -- the constrained electrons and their spin-fluctuation dressing -- and approximate their…

Strongly Correlated Electrons · Physics 2021-12-21 Amir Eskandari-asl , Adolfo Avella

In this paper, we consider the bosonic t-J model, which describes two-component hard-core bosons with a nearest-neighbor (NN) pseudo-spin interaction and a NN hopping. To study phase diagram of this model, we derive effective field theories…

Quantum Gases · Physics 2015-06-11 Y. Kuno , K. Kataoka , I. Ichinose

We determine the localization threshold in a partially filled and orbitally degenerate model of correlated electrons. Particular emphasis is put on a non-integer band filling, when the system decomposes into the localized and the itinerant…

Strongly Correlated Electrons · Physics 2015-06-25 Jakub Jedrak , Jozef Spalek , Gertrud Zwicknagl

Superconductivity in the cuprate oxide is studied by Kondo-lattice theory based on the t-J model with the el-ph interaction arising from the modulation of the superexchange interaction by phonons. The self-energy of electrons is decomposed…

Superconductivity · Physics 2009-08-10 Fusayoshi J. Ohkawa

The effective interaction between the itinerant spin degrees of freedom in the paramagnetic phases of hole doped quantum Heisenberg antiferromagnets is investigated theoretically, based on the single-band t-J model on 1D lattice, at zero…

Strongly Correlated Electrons · Physics 2018-07-11 Suraka Bhattacharjee , Ranjan Chaudhury

The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r^2 interaction. Strong spin-charge separation is found in the spin dynamics.…

Strongly Correlated Electrons · Physics 2007-05-23 Mitsuhiro Arikawa , Yasuhiro Saiga