Nash, Charles and O'Connor, Denjoe (2008) Topological Phase Transitions and Holonomies in the Dimer Model. (Preprint)
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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 modular parameter of the torus goes to zero 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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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 19 Jun 2018 13:47 |
Last Modified: | 14 Dec 2022 14:46 |
URI: | https://dair.dias.ie/id/eprint/505 |
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