Topological multicritical point in the Toric Code and 3D gauge Higgs Models
Statistical Mechanics
2014-11-18 v1 Other Condensed Matter
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.
Cite
@article{arxiv.0804.3175,
title = {Topological multicritical point in the Toric Code and 3D gauge Higgs Models},
author = {I. S. Tupitsyn and A. Kitaev and N. V. Prokof'ev and P. C. E. Stamp},
journal= {arXiv preprint arXiv:0804.3175},
year = {2014}
}
Comments
4 pages, 3 figures