Topological Phase Transitions and Holonomies in the Dimer Model

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dc.creatorNash, Charles
dc.creatorO'Connor, Denjoe
dc.date2008-09-17
dc.date2008-11-10
dc.date.accessioned2026-07-07T12:20:47Z
dc.date.available2026-07-07T12:20:47Z
dc.descriptionWe 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.
dc.description7 pages, 4 figures. Minor corrections with additional figures
dc.identifierhttps://arxiv.org/abs/0809.2960
dc.identifierhttp://arxiv.org/abs/0809.2960
dc.identifierJ.Phys.A42:012002,2009
dc.identifierdoi:10.1088/1751-8113/42/1/012002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213165
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleTopological Phase Transitions and Holonomies in the Dimer Model
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