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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

We consider integrable quantum spin chains with competing interactions. We apply the quantum transfer matrix approach to these spin chains. This allowed us to derive a set of non-linear integral equations for the thermodynamics of these…

Statistical Mechanics · Physics 2014-09-05 T. S. Tavares , G. A. P. Ribeiro

We consider thermodynamic properties, e.g. specific heat, magnetic susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising symmetry these chains can be decomposed into a set of finite chain fragments. The problem of…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , G. Uimin , J. Zittartz

The dynamics of a chain of three spins coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical so- lution of the master equation in the Born-Markov approximation for the reduced density…

Quantum Physics · Physics 2014-01-13 N. Pumulo , I. Sinayskiy , F. Petruccione

In this paper we study an Ising spin chain with short-range competing interactions in presence of long-range ferromagnetic interactions in the canonical ensemble. The simultaneous presence of the frustration induced by the short-range…

Statistical Mechanics · Physics 2019-09-04 Alessandro Campa , Giacomo Gori , Vahan Hovhannisyan , Stefano Ruffo , Andrea Trombettoni

We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the $U(1)$-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy…

Mathematical Physics · Physics 2024-10-16 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $ T-Q $ relation at the ground state are…

High Energy Physics - Theory · Physics 2022-03-07 Zhihan Zheng , Pei Sun , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The thermodynamic properties of the XXZ spin chain with integrable open boundary conditions at the gaped region (i.e., the anisotropic parameter $\eta$ being a real number) are investigated.It is shown that the contribution of the…

Strongly Correlated Electrons · Physics 2019-08-16 Pei Sun , Zhi-Rong Xin , Yi Qiao , Kun Hao , Like Cao , Junpeng Cao , Tao Yang , Wen-Li Yang

We investigate classes of quantum Heisenberg spin systems which have different coupling constants but the same energy spectrum and hence the same thermodynamical properties. To this end we define various types of isospectrality and…

Statistical Mechanics · Physics 2009-10-31 Heinz-Juergen Schmidt , Marshall Luban

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Frank Göhmann

The entanglement in a general mixed spin chain with arbitrary spin $S$ and 1/2 is investigated in the thermodynamical limit. The entanglement is witnessed by the magnetic susceptibility which decides a characteristic temperature for an…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu

We consider the spin-1/2 XY chain in a transverse field with regularly varying exchange interactions and on-site fields. In two limiting cases of the isotropic XX and extremely anisotropic (Ising) exchange interaction the thermodynamic…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko

The features of the concurrences of the nearest-neighbor and the next-nearest-neighbor sites for one-dimensional Heisenberg model with the next-nearest-neighbor interaction are studied both at the ground state and finite temperatures…

Quantum Physics · Physics 2009-11-10 Shi-Jian Gu , Haibin Li , You-Quan Li , Hai-Qing Lin

A one dimensional classically chaotic spin chain with asymmetric coupling and two different inter-spin interactions, nearest neighbors and all-to-all, has been considered. Depending on the interaction range, dynamical properties, as…

Statistical Mechanics · Physics 2014-07-29 F. Borgonovi , G. L. Celardo , M. Maianti , E. Pedersoli

We investigate the entanglement properties of a one dimensional chain of spin qubits coupled via nearest neighbor interactions. The entanglement measure used is the n-concurrence, which is distinct from other measures on spin chains such as…

Quantum Physics · Physics 2009-11-10 Gavin K. Brennen , Stephen S. Bullock

The minimal model to describe many spin chain materials with ferroelectric properties is the Heisenberg model with ferromagnetic nearest neighbor coupling J1 and antiferromagnetic next-nearest neighbor coupling J2. Here we study the…

Strongly Correlated Electrons · Physics 2010-02-17 J. Sirker

The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat,…

Statistical Mechanics · Physics 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

An isolated spin system that is in internal thermodynamic equilibrium and that has an upper limit to its allowed energy states can possess a negative temperature. We calculate the thermodynamic characteristics and the concurrence in this…

Quantum Physics · Physics 2015-06-15 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

we investigate the thermodynamic properties of weakly anisotropic disordered magnetic chains where the nearest-neighbor Heisenberg exchange coupling is the dominant spin-spin interaction. In addition to the exchange interaction, there is…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Avgin , D. L. Huber
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