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

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

2008-04-20

arxiv.org/abs/0804.3175v1

Phys.Rev.B82:085114,2010

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

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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