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We present the results for the low energy properties of the infinite dimensional t-J model with $J=0$, using $O(\lambda^2)$ equations of the extremely correlated Fermi liquid formalism. The parameter $\lambda \in [0,1]$ is analogous to the…

Strongly Correlated Electrons · Physics 2016-08-03 B Sriram Shastry , Edward Perepelitsky

Thermal response functions of strongly correlated electron systems are of appreciable interest to the larger scientific community both theoretically and technologically. Here we focus on the infinitely correlated t-J model on a…

Strongly Correlated Electrons · Physics 2009-11-13 Michael R. Peterson , B. Sriram Shastry , Jan O. Haerter

We investigate two-component ultracold fermionic atoms with repulsive interactions trapped in an optical lattice with a ladder structure. By applying the Bogoliubov-de Gennes equations to an effective t-J model in the strong correlation…

Statistical Mechanics · Physics 2009-11-13 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

Using an extended dynamical cluster approximation we study superconductivity in the two-dimensional t-J model. In analogy to the extended dynamical mean field theory, non-local spin fluctuations are treated self-consistently with an…

Superconductivity · Physics 2007-05-23 Th. A. Maier

The one-dimensional (1D) $t$-$J$ model is investigated by using a Gutzwiller-Jastrow-type variation method and the exact diagonalization of small systems. Variational expectation values are estimated by the variational Monte Carlo method…

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

The effect of antiferromagnetic spin fluctuations on two-dimensional quarter-filled systems is studied theoretically. An effective $t-J'-V$ model on a square lattice which accounts for checkerboard charge fluctuations and…

Strongly Correlated Electrons · Physics 2009-11-10 Andres Greco , Jaime Merino , Adriana Foussats , Ross H. McKenzie

We combine a slave-spin approach with a mean-field theory to develop an approximate theoretical scheme to study the density, spin, and, pairing correlation functions of fermionic polar molecules. We model the polar molecules subjected to a…

Quantum Gases · Physics 2020-11-13 Theja N. De Silva

The phase diagram of the planar t--J model at small hole doping is investigated by finite size scaling of exact diagonalisation data of NXN clusters (up to 26). Hole-droplet binding energies, compressibility and static spin and charge…

Condensed Matter · Physics 2009-10-28 D. Poilblanc

We present an exact diagonalization study of the dynamical spin and density correlation function of the 2D t-J model for hole doping < 25%. Both correlation functions show a remarkably regular, but completely different scaling behaviour…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

We present physical arguments as well as numerical evidence to show that the Cooper pair (gap) function vanishes on the Fermi surface in strongly correlated electron systems such as \tJ and \lU Hubbard models in one and two dimensions.…

Condensed Matter · Physics 2007-05-23 G. Baskaran , D. G. Kanhere , Mihir Arjunwadkar , Rahul Basu

We consider Kohn-Luttinger mechanism for superconductivity in a two-dimensional electron gas confined to a narrow well between two metallic planes with two occupied subbands with Fermi momenta $k_{FL} > k_{FS}$. On the basis of a…

Superconductivity · Physics 2017-11-22 Andrey V Chubukov , Steven A. Kivelson

We study the two-dimensional $t$-$J$ model with second neighbor hopping parameter $t'$ and in a broad range of doping $\delta$ using a closed set of equations from the {\em Extremely Correlated Fermi Liquid} (ECFL) theory. We obtain…

Strongly Correlated Electrons · Physics 2018-11-14 Peizhi Mai , B. Sriram Shastry

In our previous work [arXiv:1803.00999, Phys. Rev. Lett. 121, 046401 (2018)], we found a quantum spin liquid phase with a spinon Fermi surface in the two dimensional spin-1/2 Heisenberg model with four-spin ring exchange on a triangular…

Strongly Correlated Electrons · Physics 2019-04-30 Xiao Yan Xu , K. T. Law , Patrick A. Lee

The superconducting properties of the 2D fermion system with local and different types of the indirect boson-exchange attractions in the cases of s-wave and d-wave pairing are reviewed and analysed at T=0. In particular, the possibility of…

Superconductivity · Physics 2007-05-23 V. M. Loktev , V. Turkowski

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

We investigate a t-J ladder model by numerical diagonalization method. By calculating correlation functions and assuming the Luttinger liquid relation, we obtained a possible phase diagram of the ground state as a function of J/t and…

Condensed Matter · Physics 2009-10-28 Kazuhiro Sano

Pairing in superconductors occurs in a variety of channels and can be produced by various mechanisms. Here, we show that, in the presence of strong correlations, a novel singlet-pair superconducting phase can occur in ladder geometries with…

Strongly Correlated Electrons · Physics 2018-10-03 Chen Cheng , Rubem Mondaini , Marcos Rigol

We derive the full set of universal relations for spin-polarized Fermi gases with $p$-wave interaction in two dimensions, simply using the short-range asymptotic behavior of fermion-pair wave functions. For $p$-wave interactions, an…

Quantum Gases · Physics 2019-05-23 Shi-Guo Peng

We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact diagonalization numerical results…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Chernyshev , P. W. Leung , R. J. Gooding

We present detailed results from a recent microscopic theory of extremely correlated Fermi liquids, applied to the t-J model in two dimensions. We use typical sets of band parameters relevant to the cuprate superconductors. The second order…

Strongly Correlated Electrons · Physics 2026-01-16 Daniel Hansen , B. Sriram Shastry
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