Topological Order in the (2+1)D Compact Lattice Superconductor

Details Topological Order in the (2+1)D Compact Lattice Superconductor Topological Order in the (2+1)D Compact Lattice Superconductor

2004-02-23

arxiv.org/abs/cond-mat/0402566v2

Europhys.Lett. 69 (2005) 256-262

Physics

Condensed Matter

Superconductivity

7 pages, 3 figures

Scientific paper

10.1209/epl/i2004-10320-5

We study topological aspects of a compact lattice superconductor, and show that the characteristic energy splitting, $\Delta$, between almost degenerate ground states, is simply related to a novel order parameter $\tilde W$, which is closely related to large Wilson loops. Using Monte Carlo methods, we study the scaling properties of $\tilde W$ close to the deconfining phase transition, and conclude that $\Delta \sim e^{-L/\xi}$, where $L$ is the size of the system, thus giving quantitative support to the vortex tunneling scenario proposed by Wen.

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