CORRELATION FUNCTIONS OF THE XXZ SPIN-½ HEISENBERG CHAIN: RECENT ADVANCES (REVIEW)

DOI10.1142/S0217751X04020452zbMath1080.82531OpenAlexW2089240550MaRDI QIDQ3370322

Jean-Michel Maillet, N. A. Kitanine, Nikita A. Slavnov, Véronique Terras

Publication date: 7 February 2006

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x04020452

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Master equation for spin-spin correlation functions of the \(XXZ\) chain ⋮ Correlation functions of the spin-1/2 antiferromagnetic Heisenberg chain: exact calculation via the generating function ⋮ On correlation functions in the coordinate and the algebraic Bethe ansatz ⋮ General scalar products in the arbitrary six-vertex model ⋮ Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: the method and general results ⋮ Quantum integrability in the lab

Cites Work

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• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Correlation functions of the \(XXZ\) spin-\(1/2\) Heisenberg chain at the free fermion point from their multiple integral representations
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Two soluble models of an antiferromagnetic chain
• Correlation functions for the Heisenberg \(XXZ\)-antiferromagnet.
• Emptiness Formation Probability for the One-Dimensional IsotropicXYModel
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• On the quantum inverse scattering problem.

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