Shtengel, Kirill and Chayes, L. P. (2005) Vertex models and random labyrinths: phase diagrams for ice-type vertex models. Journal of Statistical Mechanics: Theory and Experiment, 2005 . P07006. ISSN 1742-5468 http://resolver.caltech.edu/CaltechAUTHORS:20110825-115133449
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We propose a simple geometric recipe which allows the deduction of phase diagrams for a general class of vertex models obeying the ice rule. The disordered phase maps onto intersecting loop models which are interesting in their own right and are related to other statistical mechanical models. This mapping is also useful for the understanding of some ordered phases of these vertex models as they correspond to the polymer loop models with cross-links in their vulcanized phase.
|Additional Information:||© 2005 IOP Publishing Ltd. Received 27 May 2005; accepted 14 July 2005; published 27 July 2005. It is our pleasure to acknowledge helpful discussions with T Prellberg, J F Nagle, M den Nijs, P Fendley and C Nayak.|
|Subject Keywords:||integrable spin chains (vertex models), loop models and polymers, phase diagrams (theory)|
|Classification Code:||PACS: 64.60.Cn|
|Official Citation:||Vertex models and random labyrinths: phase diagrams for ice-type vertex models Kirill Shtengel and L P Chayes J. Stat. Mech. (2005) P07006|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||25 Aug 2011 20:50|
|Last Modified:||25 Aug 2011 20:50|
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