Quantum spin chains of Temperley–Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature

DOI10.1088/1742-5468/2010/05/P05018zbMath1456.82086arXiv1003.1932OpenAlexW3099757035MaRDI QIDQ3301161

Britta Aufgebauer, Andreas Klümper

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1932

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain ⋮ Universal Bethe ansatz solution for the Temperley-Lieb spin chain ⋮ Tensor space representations of Temperley–Lieb algebra via orthogonal projections of rank r ≥ 1 ⋮ Quantum spin chains from Onsager algebras and reflection \(K\)-matrices ⋮ Critical site percolation on the triangular lattice: from integrability to conformal partition functions ⋮ Integrable anyon chains: from fusion rules to face models to effective field theories ⋮ The topological basis realization and the corresponding Heisenberg model of spin-1 chain ⋮ The topological basis expression of Heisenberg spin chain ⋮ Topological basis associated with B-M-W algebra: two-spin-1/2 realization ⋮ The complete conformal spectrum of asl(2|1) invariant network model and logarithmic corrections ⋮ Bethe ansatz for the Temperley–Lieb spin chain with integrable open boundaries ⋮ Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations ⋮ On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model] ⋮ A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• On an algebraic approach to higher dimensional statistical mechanics
• The blob algebra and the periodic Temperley-Lieb algebra
• Index for subfactors
• The representation theory of the Temperley-Lieb algebras
• A class of interaction-round-a-face models and its equivalence with an ice-type model
• CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY
• Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices
• On the critical behaviour of the anisotropic biquadratic spin-1 chain
• Exact solutions forA-DTemperley - Lieb models
• On spin systems related to the Temperley–Lieb algebra
• Algebraic structure of translation-invariant spin-1/2xxzandq-Potts quantum chains
• ALL EXACTLY SOLVABLE U(1)-INVARIANT QUANTUM SPIN 1 CHAINS FROM HECKE ALGEBRA
• Exact solution of the deformed biquadratic spin-1 chain
• The Temperley–Lieb algebra and its generalizations in the Potts andXXZmodels
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

This page was built for publication: Quantum spin chains of Temperley–Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature