Magnetization formula in the bounded \(XYZ\) spin chain

DOI10.1016/S0960-0779(99)00064-8zbMath0976.82017arXivhep-th/9809058OpenAlexW2016196272MaRDI QIDQ1573958

Yasuhiro Fujii, Miki Wadati

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9809058

zbMATH Keywords

vertex operatorsvacuum statesbounded \(XYZ\) spin chainmagnetization formula

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators
• An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
• Free field construction for correlation functions of the eight-vertex model
• \(XXZ\) chain with a boundary
• Difference equations in spin chains with a boundary
• Correlation Functions of the Asymmetric XXZ Chain and the Painlevé V Equation
• Spontaneous Magnetization in the Bounded XXZ Spin Chain
• Boundary conditions for integrable quantum systems
• Integrable XYZ spin chain with boundaries

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