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Following the Bethe ansatz we determine the dynamical spectra of the one-dimensional supersymmetric t-J model. A series of fractionalized excitations are identified through two sets of Bethe numbers. Typical patterns in each set are found…

Strongly Correlated Electrons · Physics 2026-03-27 Yunjing Gao , Jianda Wu

We derive the spectrum and the thermodynamics of the one-dimensional supersymmetric t-J model with long range hopping and spin exchange using a set of maximal-spin eigenstates. This spectrum confirms the recent conjecture that the…

Condensed Matter · Physics 2015-06-25 D. F. Wang , James T. Liu , P. Coleman

A variant of the one-dimensional $t$-$J$ model with anisotropic spin interaction and broken parity is studied by the nested algebraic Bethe-ansatz method. The gapless charge excitations and the gapful spin excitations are obtained. It is…

Condensed Matter · Physics 2019-08-15 J. Shiraishi , Y. Morita , M. Kohmoto

Quasi-particle picture in a magnetic field is pursued for dynamical spin and charge correlation functions of the one-dimensional supersymmetric t-J model with inverse-square interaction. With use of exact diagonalization and the asymptotic…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

The exact solution of the spin chain model with $1/r^2$ exchange is found for twisted boundary conditions. The spectrum thus obtained can be reproduced by the asymptotic Bethe ansatz. The spectral flow of each eigenstate is determined…

Condensed Matter · Physics 2009-10-28 T. Fukui , N. Kawakami

The flow of the low energy eigenstates of a $U_q[sl(2|1)]$ superspin chain with alternating fundamental ($3$) and dual ($\bar{3}$) representations is studied as function of a twist angle determining the boundary conditions. The finite size…

Statistical Mechanics · Physics 2017-06-29 Holger Frahm , Konstantin Hobuß

Excitation spectra in the SU($\nu +1$,1) supersymmetric t-J model with long-range exchange and transfer has quadratic dependence on spin and charge currents for all energies. After brief review on the supersymmetry, this paper gives a…

Condensed Matter · Physics 2007-05-23 Y. Kuramoto

Using variational trial wave function based on the string picture we study the motion of a single mobile hole in the stripe phase of the doped antiferromagnet. The holes within the stripes are taken to be static, the undoped…

Strongly Correlated Electrons · Physics 2009-10-31 P. Wrobel , R. Eder

The integrable quantum group $spl_q(2,1)$-invariant supersymmetric t-J model with open boundaries is studied via an analytic treatment of the Bethe equations. An $su(2)$ feature is seen to hold for states at or close to half-filling. For…

Strongly Correlated Electrons · Physics 2016-08-31 Y. -K. Zhou , M. T. Batchelor

An open supersymmetric t-J chain with boundary fields is studied by means of the Bethe Ansatz. Ground state properties for the case of an almost half-filled band and a bulk magnetic field are determined. Boundary susceptibilities are…

Condensed Matter · Physics 2016-08-31 Fabian H. L. Essler

Dynamical properties, such as dynamical spin and charge structure factors and single-particle spectral functions, are studied for the one-dimensional supersymmetric t-J model with inverse-square interaction. Exact diagonalization and the…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

The hole spectral function of the t-J model on a two-dimensional semi-infinite lattice is calculated using the spin-wave and noncrossing approximations. In the case of small hole concentration and strong correlations, $t\gg J$, several…

Strongly Correlated Electrons · Physics 2010-09-02 A. Sherman , N. Voropajeva

We present the quantum phase diagram of the one-dimensional $t$-$J_z$ model for arbitrary spin (integer or half-integer) and sign of the spin-spin interaction $J_z$, using an {\it exact} mapping to a spinless fermion model that can be…

Strongly Correlated Electrons · Physics 2009-10-31 C. D. Batista , G. Ortiz

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

The SU($\nu$) generalized Haldane-Shastry spin chain with $1/r^2$ interaction is studied with twisted boundary conditions. The exact wavefunctions of Jastrow type are obtained for every rational value of the twist angle in unit of $2\pi$.…

Statistical Mechanics · Physics 2009-10-28 T. Fukui , N. Kawakami

The exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods. With the coordinate Bethe ansatz, the corresponding R-matrix and K-matrices are…

Mathematical Physics · Physics 2015-06-18 Xin Zhang , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We exactly calculate the momentum-dependent critical exponents for spectral functions in the one-dimensional anisotropic t-J models with a gap either in the spin or charge excitation spectrum. Our approach is based on the Bethe ansatz…

Strongly Correlated Electrons · Physics 2009-10-30 T. Fujii , Y. Tsukamoto , N. Kawakami

We analyze the thermodynamics and the critical behavior of the supersymmetric su($m$) $t$-$J$ model with long-range interactions. Using the transfer matrix formalism, we obtain a closed-form expression for the free energy per site both for…

Strongly Correlated Electrons · Physics 2020-09-03 B. Basu-Mallick , N. Bondyopadhaya , J. A. Carrasco , F. Finkel , A. Gonzalez-Lopez

We study the one-dimensional supersymmetric t-J model with 1/r2 interaction threaded by magnetic flux. Because of the long range interaction, the effect of this flux leads to a modification of the electron hopping term. We present an exact…

Condensed Matter · Physics 2007-05-23 J. T. Liu , D. F. Wang

In this work, we continue the study of the supersymmetric t-J model with 1/r^2 hopping and exchange without translational invariance. A set of Jastrow wavefunctions are obtained for the system, with eigenenergies explicitly calculated. The…

Condensed Matter · Physics 2009-10-22 C. Gruber , D. F. Wang
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