Nash, Charles and O'Connor, Denjoe (2009) Topological Phase Transitions and Holonomies in the Dimer Model. Journal of Physics A: Mathematical and Theoretical, 42 (1). pp. 1-8. ISSN 1751-8121
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Abstract
We demonstrate that the classical dimer model defined on a toroidal hexagonal lattice acquires holonomy phases in the thermodynamic limit. When all activities are equal the lattice sizes must be considered mod 6 in which case the finite size corrections to the bulk partition function correspond to a massless Dirac Fermion in the presence of a flat connection with nontrivial holonomy. For general bond activities we find that the phase transition in this model is a topological one, where the torus degenerates and its modular parameter becomes real at the critical temperature. We argue that these features are generic to bipartite dimer models and we present a more general lattice whose continuum partition function is that of a massive Dirac Fermion.
Item Type: | Article |
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Keywords: | Topological Phase transitions; Dimer models; Bipartite dimer models; Holonomies; Dirac fermion. |
Academic Unit: | Faculty of Science and Engineering > Experimental Physics |
Item ID: | 1567 |
Identification Number: | https://doi.org/10.1088/1751-8113/42/1/012002 |
Depositing User: | Prof. Charles Nash |
Date Deposited: | 05 Oct 2009 14:08 |
Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical |
Publisher: | Institute of Physics Publishing Ltd |
Refereed: | Yes |
URI: | |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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