Integral representations for correlation functions of the XXZ chain at finite temperature

Abstract

We derive a novel multiple integral representation for a generating function of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite temperature and finite, longitudinal magnetic field. Our work combines algebraic Bethe ansatz techniques for the calculation of matrix elements with the quantum transfer matrix approach to thermodynamics.

33 pages, 2 figures, v2: 2 typos corrected, 1 figure added

Cited by in corpus (133)

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• Correlation functions of the open XXZ chain I
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Exact large-scale correlations in integrable systems out of equilibrium
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• String-charge duality in integrable lattice models
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• Form factor expansion for thermal correlators
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Dynamical correlation functions of the XXZ spin-1/2 chain
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• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
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• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
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• Short-distance thermal correlations in the XXZ chain
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• Exact real-time longitudinal correlation functions of the massive XXZ chain
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• Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains
• Equilibrium dynamics of the XX chain
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• A Q-Operator Identity for the Correlation Functions of the Infinite XXZ Spin-Chain
• Dynamical correlation functions of the XXZ model at finite temperature
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