Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model

Details Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model

2005-02-22

arxiv.org/abs/cond-mat/0502533v2

Phys.Rev. B72 (2005) 174515

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 9 figures

Scientific paper

10.1103/PhysRevB.72.174515

We study an Abelian compact gauge theory minimally coupled to bosonic matter with charge q, which may undergo a confinement--deconfinement transition in (2+1)D. The transition is analyzed using a nonlocal order parameter $\tilde W$, which is related to large Wilson loops for fractional charges. We map the model to a dual representation with no gauge field but only a global q-state clock symmetry and show that $\tilde W$ correspond to the domain wall energy of that model. $\tilde W$ is also directly connected to the concept of topological order. We exploit these facts in Monte Carlo simulations to study the detailed nature of the deconfinement transition.

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