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We derive the low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain by summing up the asymptotically dominant terms of their expansion into form factors of the quantum transfer matrix.
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A. Klümper and C. Scheeren, The thermodynamics of the spin-1/2 XXX chain: free energy and low-temperature singularities of correlation lengths , Classical and Quantum Nonlinear Integrable Systems (A. Kundu, ed.), Series in Mathematical and Computational Physics, IOP publishing, Bristol, 2003, pp. 234–255
2003
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S. Lukyanov and V. Terras, Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain , Nucl. Phys. B 654
2003
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G. Olshanski, Point processes and the infinite symmetric group. Part I: The general formalism and the density function , In: The orbit method in geometry and physics: in honor of A. A. Kirillov (C. Duval, L. Guieu, and V. Ovsienko, eds.), Birkhäuser Verlag, Basel, 2003, Progress in Math. 213
2003
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F. Göhmann, A. Klümper, and A. Seel, Integral representations for correlation functions of the XXZ chain at finite temperature , J. Phys. A 37
2004
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N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Master equation for spin-spin correlation functions of the XXZ chain , Nucl. Phys. B 712
2005
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H. Boos, F. Göhmann, A. Klümper, and J. Suzuki, Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field , J. Phys. A 40
2007
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2010
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F. Bornemann, On the numerical evaluation of Fredholm determinants , Mathematics of Computation 79
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K. K. Kozlowski, J. M. Maillet, and N. A. Slavnov, Correlation functions for one-dimensional bosons at low temperature , J. Stat. Mech.: Theor. Exp. (2011), P03019
2011
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J. Sato, B. Aufgebauer, H. Boos, F. Göhmann, A. Klümper, M. Takahashi, and C. Trippe, Computation of static Heisenberg-chain correlators: Control over length and temperature dependence , Phys. Rev. Lett. 106
2011
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A. Shashi, M. Panfil, J.-S. Caux, and A. Imambekov, Exact prefactors in static and dynamic correlation functions of one-dimensional quantum integrable models: Applications to the Calogero-Sutherland, Lieb-Liniger, and X X Z {XXZ} models , Phys. Rev. B 85
2012
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2013
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O. Pâţu and A. Klümper, Correlation lengths of the repulsive one-dimensional Bose gas , Phys. Rev. A 88
2013
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