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We have performed density-matrix renormalization group studies of a square lattice $t$-$J$ model with small hole doping, $\delta\ll 1$, on long 4 and 6 leg cylinders. We include frustration in the form of a second-neighbor exchange…

Strongly Correlated Electrons · Physics 2021-08-31 Hong-Chen Jiang , Steven A. Kivelson

In the present work we demonstrate that the spin columnar dimerized phase (conducting spin stripe liquid) is stable at doping $x_{c1} < x < x_{c2}$. At $x < x_{c1}$ the system undergoes phase transition to the Neel state, and at $x >…

Strongly Correlated Electrons · Physics 2007-05-23 O . P. Sushkov

We systematically examine the asymmetry of the electronic states in the hole- and electron-doped cuprates by using the t-t'-t''-J model. Numerically exact diagonalization method is employed for a 20-site square lattice. We impose twisted…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tohyama

Superconductivity in doped quantum paramagnets has been a subject of long theoretical inquiry. In this work we report a density matrix renormalization group study of lightly doped $t$-$J$ models on the square lattice (doped hole densities…

Strongly Correlated Electrons · Physics 2023-08-16 Hong-Chen Jiang , Steven A. Kivelson , Dung-Hai Lee

Based on a variational approach, we propose that there are two kinds of low energy states in the t-J type models at low doping. In a quasi-particle state an unpaired spin bound to a hole with a well-defined momentum can be excited with spin…

Strongly Correlated Electrons · Physics 2009-11-10 Wei-Cheng Lee , T. K. Lee , Chang-Ming Ho , P. W. Leung

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 two-dimensional t-J model at a hole doping of x = 1/8 and J/t = 0.35 with exact diagonalization. The low-energy states are uniform (not striped). We find numerous excited states with charge density wave structures, which…

Strongly Correlated Electrons · Physics 2009-10-31 C. Stephen Hellberg , Efstratios Manousakis

It is a distinct possibility that spin fluctuations are the pairing interactions in a wide range of unconventional superconductors. In the case of the high-transition-temperature (high-$T_c$) cuprates, in which superconductivity emerges…

Exact diagonalization studies for a doped t-J ladder (or double chain) show hole pairing in the ground state. The excitation spectrum separates into a limited number of quasiparticles which carry charge $+|e|$ and spin ${1 \over 2}$ and a…

Condensed Matter · Physics 2007-05-23 Hirokazu Tsunetsugu , Matthias Troyer , T. Maurice Rice

The supersymmetric formulation of t-J model is studied in this paper at the mean-field level where $\delta$-T phase diagram is computed. We find that slave-fermion-like spiral phase is stable at low doping concentration, and the…

Superconductivity · Physics 2007-05-23 Chi-Ho Cheng , T. K. Ng

Building on the results of Ref. \cite{faye2018phase}, which identified an antiferromagnetic and Kondo singlet phases on the Kondo-Hubbard square lattice, we use the variational cluster approximation (VCA) to investigate the competition…

Strongly Correlated Electrons · Physics 2022-01-26 Oumar Ndiaye , Djicknack Dione , Alassane Traor/'e , Sadikh Ababacar Ndao , Jean Paul Latyr Faye

We investigate the spectral properties of the doped ${t-t'}$ Hubbard model with parameters typical for high-temperature cuprate superconductors. Our approach is based on a novel strong-coupling Green's function expansion around a reference…

Strongly Correlated Electrons · Physics 2026-05-15 E. A. Stepanov , S. Iskakov , M. I. Katsnelson , A. I. Lichtenstein

We use a renormalized mean field theory to study the Gutzwiller projected BCS states of the extended Hubbard model in the large $U$ limit, or the $t$-$t'$-$J$-$J'$ model on a two-dimensional checkerboard lattice. At small $t'/t$, the…

Superconductivity · Physics 2009-11-13 Huai-Xiang Huang , You-Quan Li , Jing-Yu Gan , Yan Chen , Fu-Chun Zhang

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a…

Superconductivity · Physics 2011-12-05 Zheng-Yu Weng

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J_1-J_2 model on the square lattice. We obtain…

Strongly Correlated Electrons · Physics 2015-01-16 J. Richter , R. Zinke , D. J. J. Farnell

By extending previous work on the scaling of low frequency magnetic properties of the 2-1-4 cuprates to the 1-2-3 materials, we arrive at a consistent phenomenological description of protected behavior in the pseudogap state of the…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Barzykin , David Pines

Spin gaps in coupled $t$-$J$ ladders are investigated by exact diagonalization of small clusters up to 4$\times$8 sites. At half-filling, the numerical results for the triplet excitation spectrum are in very good agreement with a second…

Condensed Matter · Physics 2009-10-22 D. Poilblanc , H. Tsunetsugu , T. M. Rice

A real spin-charge separation scheme is found based on a saddle-point state of the $t-J$ model. In the one-dimensional (1D) case, such a saddle-point reproduces the correct asymptotic correlations at the strong-coupling fixed-point of the…

Condensed Matter · Physics 2009-10-28 Z. Y. Weng , D. N. Sheng , C. S. Ting

On the basis of $t$-matrix approximation, we study the superconductivity in the tight-binding model with d-wave attraction. The low-lying collective modes are considered as the predominant long-range fluctuations in the system. The Green's…

Superconductivity · Physics 2007-05-23 Xin-Zhong Yan

The energies of singlet stripe phases in which a plane is broken up into spin liquid ladders by lines of holes, is examined. If the holes were static then patterns containing spin liquids with a finite spin gap are favored. The case of…

Condensed Matter · Physics 2007-05-23 Hirokazu Tsunetsugu , Matthias Troyer , T. M. Rice
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