A deformed analogue of Onsager's symmetry in the XXZ open spin chain - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2005

A deformed analogue of Onsager's symmetry in the XXZ open spin chain

Résumé

The XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-abelian symmetry which ensures the integrability of the model. This symmetry implies the existence of a finite set of independent mutually commuting nonlocal operators which form an abelian subalgebra. The transfer matrix and local conserved quantities, for instance the Hamiltonian, are expressed in terms of these nonlocal operators. It follows that Onsager's original approach of the planar Ising model can be extended to the XXZ open spin chain.

Dates et versions

hal-00082311 , version 1 (27-06-2006)

Identifiants

Citer

P. Baseilhac, K. Koizumi. A deformed analogue of Onsager's symmetry in the XXZ open spin chain. Journal of Statistical Mechanics: Theory and Experiment, 2005, 0510, pp.P005. ⟨hal-00082311⟩
107 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More