Exact solutions forA-DTemperley - Lieb models

DOI10.1088/0305-4470/29/3/007zbMath0916.17032arXivcond-mat/9505049OpenAlexW3122717857MaRDI QIDQ4227638

A. Lima-Santos, Roland Köberle

Publication date: 15 July 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9505049

zbMATH Keywords

boundary conditionsquantum groupsTemperley-Lieb algebraBethe statesspectrum of quantum spin chains

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)

Related Items (10)

Universal Bethe ansatz solution for the Temperley-Lieb spin chain ⋮ Quantum algebras with representation ring of \(\mathfrak{sl}_2\) type ⋮ Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices ⋮ Quantum spin chains of Temperley–Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature ⋮ On the \mathcal {U}_{q}[sl(2) Temperley–Lieb reflection matrices] ⋮ Temperley–LiebK-matrices ⋮ Bethe ansatz for the Temperley–Lieb spin chain with integrable open boundaries ⋮ Exact solutions of graded Temperley-Lieb Hamiltonians. ⋮ Numerical algorithm for the calculation of the ground states in the \(U_qSU(2)\) symmetric spin-\(\tfrac 12\) Heisenberg chain ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

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