Thermodynamic limit of the six-vertex model with reflecting end

Autor(es)

Ribeiro, G. A. P. ^[1] ; Korepin, V. E. ^[1]

Afiliação do(s) autor(es)

^[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 - USA

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 4 JAN 30 2015.
• Citações Web of Science: 7

Resumo

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We have found a number of special points where the partition function is directly obtained. We take the homogeneous limit of the Tsuchiya determinant formula of the partition function. This determinant formula satisfies the bidimensional Toda equation. We exploit this fact in order to take the thermodynamic limit and obtain the free energy of the six-vertex model with reflecting end. We successfully determined the free energy and entropy in the disordered regime. (AU)

• Processo FAPESP: 12/24514-0 - Termodinâmica e funções de correlação de modelos integráveis
• Beneficiário: Giuliano Augustus Pavan Ribeiro
• Modalidade de apoio: Bolsas no Exterior - Pesquisa