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arXiv · 0804.3175

Topological multicritical point in the Toric Code and 3D gauge Higgs Models

I. S. Tupitsyn·A. Kitaev·N. V. Prokof'ev·P. C. E. Stamp
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Abstract

We report a new type of multicritical point that arises from competition between the Higgs and confinement transitions in a Z_2 gauge system. The phase diagram of the 3d gauge Higgs model has been obtained by Monte-Carlo simulation on large (up to 60^3) lattices. We find the transition lines continue as 2nd-order until merging into a 1st-order line. These findings pose the question of an effective field theory for a multicritical point involving noncommuting order parameters. A similar phase diagram is predicted for the 2-dimensional quantum toric code model with two external fields, h_z and h_x; this problem can be mapped onto an anisotropic 3D gauge Higgs model.

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I. S. Tupitsyn, A. Kitaev, N. V. Prokof'ev, P. C. E. Stamp. 2008-04-20. Topological multicritical point in the Toric Code and 3D gauge Higgs Models. https://doi.org/10.1103/physrevb.82.085114

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