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In this paper, we study the surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields, which is a typical $U(1)$-symmetry broken quantum integrable strongly correlated electron system. It is…

Mathematical Physics · Physics 2022-06-07 Pei Sun , Yang-Yang Chen , Tao Yang , Junpeng Cao , Wen-Li Yang

We investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T-Q relation to the ground state energy does…

Mathematical Physics · Physics 2017-01-04 Fakai Wen , Tao Yang , Zhanying Yang , Junpeng Cao , Kun Hao , Wen-Li Yang

In this study, we explore the precise physical quantities in the thermodynamic limit of the one-dimensional Hubbard model with nonparallel boundary magnetic fields based on the off-diagonal Bethe ansatz solution. A particular emphasis is…

Mathematical Physics · Physics 2024-08-13 Pei Sun , Yi Qiao , Tao Yang , Junpeng Cao , Wen-Li Yang

The free energy of the supersymmetric $t-J$ model is expressed in terms of finite temperature excitations above thermodynamic equilibrium. This reveals that the free energy has the form of noninteracting fermions with temperature dependant…

Condensed Matter · Physics 2007-05-23 Eric D. Williams

We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz…

Superconductivity · Physics 2007-05-23 J. Ambjorn , A. Avakyan , T. Hakobyan , A. Sedrakyan

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t-J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T-Q relation,…

Mathematical Physics · Physics 2017-07-13 Pei Sun , Fakai Wen , Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi

A Trotter-Suzuki mapping is used to calculate the finite-temperature properties of the one-dimensional supersymmetric $t-J$ model. This approach allows for the exact calculation of various thermodynamical properties by means of the quantum…

Strongly Correlated Electrons · Physics 2009-10-28 G. Juttner , A. Klumper , J. Suzuki

We investigate the thermodynamics of the one-dimensional t-J model using transfer matrix renormalization group (TMRG) algorithms and present results for quantities like particle number, specific heat, spin susceptibility and…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper

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

We study a system of one-dimensional t-J models coupled to a ladder system. A special choice of the interaction between neighbouring rungs leads to an integrable model with supersymmetry, which is broken by the presence of rung…

Condensed Matter · Physics 2009-10-31 Holger Frahm , Anjan Kundu

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

The integrability of the one-dimensional long range supersymmetric t-J model has previously been established for both open systems and those closed by periodic boundary conditions through explicit construction of its integrals of motion.…

solv-int · Physics 2016-09-08 J. T. Liu , D. F. Wang

We study the phase diagram and finite temperature properties of an integrable generalization of the one-dimensional super-symmetric t-J model containing interactions explicitly breaking parity-time reversal (PT) symmetries. To this purpose,…

Statistical Mechanics · Physics 2017-08-08 T. S. Tavares , G. A. P. Ribeiro

We study the spectrum of the long-range supersymmetric su$(m)$ $t$-$J$ model of Kuramoto and Yokoyama in the presence of an external magnetic field and a charge chemical potential. To this end, we first establish the precise equivalence of…

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

We show that several well-known one-dimensional quantum systems possess a hidden nonlocal supersymmetry. The simplest example is the open XXZ spin chain with \Delta=-1/2. We use the supersymmetry to place lower bounds on the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 Xiao Yang , Paul Fendley

In this work we consider the 1-component real scalar $\phi^4$ theory in 4 space-time dimensions on the lattice and investigate the finite size scaling of thermodynamic quantities to study whether the thermodynamic limit is attained. The…

High Energy Physics - Lattice · Physics 2010-08-24 Debasish Banerjee , Saumen Datta , Sourendu Gupta

We investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz method. We obtain the homogeneous Bethe ansatz equations for…

Mathematical Physics · Physics 2024-08-12 Jiasheng Dong , Pengcheng Lu , Junpeng Cao , Wen-Li Yang , Ian Marquette , Yao-Zhong Zhang

The surface free energy is the difference between the free energies for a system with open boundary conditions and the same system with periodic boundary conditions. We use the quantum transfer matrix formalism to express the surface free…

Statistical Mechanics · Physics 2015-06-25 Frank Göhmann , Michael Bortz , Holger Frahm

An analytic method is proposed to compute the surface energy and elementary excitations of the XXZ spin chain with generic non-diagonal boundary fields. For the gapped case, in some boundary parameter regimes the contributions of the two…

Statistical Mechanics · Physics 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the $T-Q$ relation and by the zeros of the associated…

Mathematical Physics · Physics 2025-02-19 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang
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