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We communicate results on correlation functions for the spin-1/2 Heisenberg-chain in two particularly important cases: (a) for the infinite chain at arbitrary finite temperature $T$, and (b) for finite chains of arbitrary length $L$ in the…

Taking the XXZ chain as the main example, we give a review of an algebraic representation of correlation functions in integrable spin chains obtained recently. We rewrite the previous formulas in a form which works equally well for the…

高能物理 - 理论 · 物理学 2008-11-26 H. Boos , M. Jimbo , T. Miwa , F. Smirnov , Y. Takeyama

We verify the functional form of the asymptotics of the spin - spin equal - time correlation function for the XX-chain, predicted by the hypothesis of conformal invariance at large distances and by the bosonization procedure. We point out…

数学物理 · 物理学 2009-11-07 A. A. Ovchinnikov

We study the correlation functions of $SU(n)$ $n>2$ invariant spin chains in the thermodynamic limit. We formulate a consistent framework for the computation of short-range correlation functions via functional equations which hold even at…

数学物理 · 物理学 2019-01-30 G. A. P. Ribeiro , A. Klümper

We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 case. We review…

统计力学 · 物理学 2011-06-24 Tetsuo Deguchi , Jun Sato

We propose a recursive algorithm for the calculation of multi-baryon correlation functions that combines the advantages of a recursive approach with those of the recently proposed unified contraction algorithm. The independent components of…

高能物理 - 格点 · 物理学 2013-05-30 Jana Günther , Bálint C. Tóth , Lukas Varnhorst

An explicit construction for Q-operators of the finite XXZ spin-chain with twisted boundary conditions is presented. The massless and the massive regime is considered as well as the root of unity case. It is explained how these results…

高能物理 - 理论 · 物理学 2014-11-18 Christian Korff

Analytical expressions of some of the spin-spin correlation functions up to eight lattice sites for the spin-1/2 anti-ferromagnetic Heisenberg chain at zero temperature without magnetic field are obtained. The key object of our method is…

高能物理 - 理论 · 物理学 2009-11-11 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

A general technique of exact calculation of any correlation functions for the special class of one-dimensional spin models containing small clusters of quantum spins assembled to a chain by alternating with the single Ising spins is…

统计力学 · 物理学 2013-11-05 Stefano Bellucci , Vadim Ohanyan

We consider the problem of correlation functions in the stationary states of one-dimensional stochastic models having conformal invariance. If one considers the space dependence of the correlators, the novel aspect is that although one…

统计力学 · 物理学 2016-06-17 Francisco C. Alcaraz , Vladimir Rittenberg

We show how correlation functions of the spin-1/2 Heisenberg chain without magnetic field in the anti-ferromagnetic ground state can be explicitly calculated using information contained in the quantum Knizhnik-Zamolodchikov equation [qKZ].…

高能物理 - 理论 · 物理学 2009-11-10 H. E. Boos , M. Shiroishi , M. Takahashi

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai

We explain how to compute correlation functions at zero temperature within the framework of the quantum version of the Separation of Variables (SoV) in the case of a simple model: the XXX Heisenberg chain of spin 1/2 with twisted…

数学物理 · 物理学 2021-01-13 G. Niccoli , H. Pei , V. Terras

We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulas follow from several effective re-summations of the…

高能物理 - 理论 · 物理学 2009-09-25 N. Kitanine , K. Kozlowski , J. M. Maillet , G. Niccoli , N. A. Slavnov , V. Terras

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase…

核理论 · 物理学 2026-05-13 Renjie Zou , Sheng Xiao , Zhi Qin , Zhigang Xiao

We have analytically obtained all the density matrix elements up to six lattice sites for the spin-1/2 Heisenberg XXZ chain at $\Delta=1/2$. We use the multiple integral formula of the correlation function for the massless XXZ chain derived…

统计力学 · 物理学 2009-11-13 Jun Sato , Masahiro Shiroishi

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero…

统计力学 · 物理学 2015-06-15 Andreas Klümper , Dominic Nawrath , Junji Suzuki

We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the…

高能物理 - 理论 · 物理学 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We prove a recent conjecture on the duality relation for correlation functions of the Potts model for boundary spins of a planar lattice. Specifically, we deduce the explicit expression for the duality of the n-site correlation functions,…

统计力学 · 物理学 2009-10-30 Wentao T. Lu , F. Y. Wu

Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.

高能物理 - 理论 · 物理学 2015-06-26 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras
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