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Vertex models and random labyrinths: phase diagrams for ice-type vertex models

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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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1742-5468/2005/07/P07006DOIUNSPECIFIED
http://iopscience.iop.org/1742-5468/2005/07/P07006/PublisherUNSPECIFIED
http://arxiv.org/abs/cond-mat/0402615arXivUNSPECIFIED
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
Record Number:CaltechAUTHORS:20110825-115133449
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110825-115133449
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.
ID Code:25096
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:25 Aug 2011 20:50
Last Modified:25 Aug 2011 20:50

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