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Breakdown of a perturbed Z_N topological phase
- Source :
- New J. Phys. 14, 025005 (2012)
- Publication Year :
- 2011
-
Abstract
- We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in the presence of local perturbations. For N=2, this model reduces to the conventional toric code in a uniform magnetic field. A quantitative analysis is performed for the perturbed Z_3 toric code by applying a combination of high-order series expansions and variational techniques. We provide strong evidences for first- and second-order phase transitions between topologically-ordered and polarized phases. Most interestingly, our results also indicate the existence of topological multi-critical points in the phase diagram.<br />Comment: 27 pages, 10 figures
Details
- Database :
- arXiv
- Journal :
- New J. Phys. 14, 025005 (2012)
- Publication Type :
- Report
- Accession number :
- edsarx.1110.3632
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1367-2630/14/2/025005