Thermodynamic limit of the six-vertex model with reflecting end

G. A. P. Ribeiro; V. E. Korepin

doi:10.1088/1751-8113/48/4/045205

Thermodynamic limit of the six-vertex model with reflecting end

Statistical Mechanics 2015-01-14 v3 High Energy Physics - Theory Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Authors: G. A. P. Ribeiro , V. E. Korepin

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Abstract

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We evaluated the partition function explicitly in special cases. We calculated the homogeneous limit of the Tsuchiya determinant formula for the partition function. We evaluated the thermodynamic limit and obtain the free energy of the six-vertex model with reflecting end. We determined the free energy in the disordered regime.

Keywords

six-vertex model thermodynamic limit partition function free energy domain wall boundary reflecting end tsuchiya determinant

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@article{arxiv.1409.1212,
  title  = {Thermodynamic limit of the six-vertex model with reflecting end},
  author = {G. A. P. Ribeiro and V. E. Korepin},
  journal= {arXiv preprint arXiv:1409.1212},
  year   = {2015}
}

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19 pages, 5 pictures, references added

Thermodynamic limit of the six-vertex model with reflecting end

Abstract

Keywords

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