Multi-leg integrable ladder models
Copyright policy )Multi-leg integrable ladder models
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry.
20 pages; Latex2e with epic,eepic macros
- Grenoble Alpes University France
- Université Savoie Mont Blanc France
High Energy Physics - Theory, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, 75.10.Pq, 530, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 03.65.Fd, Mathematics - Quantum Algebra, PACS: 02.20.Uw, FOS: Mathematics, MSC: 81R50, Quantum Algebra (math.QA), Quantum equilibrium statistical mechanics (general), Chaînes de spins, coupled Yang-Baxter equations, Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory, integrable spin chains, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 500, 17B37, Modèles intégrables, High Energy Physics - Theory (hep-th), [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], inhomogeneous periodic anisotropy-parameter disposition
High Energy Physics - Theory, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, 75.10.Pq, 530, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 03.65.Fd, Mathematics - Quantum Algebra, PACS: 02.20.Uw, FOS: Mathematics, MSC: 81R50, Quantum Algebra (math.QA), Quantum equilibrium statistical mechanics (general), Chaînes de spins, coupled Yang-Baxter equations, Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory, integrable spin chains, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 500, 17B37, Modèles intégrables, High Energy Physics - Theory (hep-th), [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], inhomogeneous periodic anisotropy-parameter disposition
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