Breakdown of a perturbed ℤN topological phase

Marc Daniel Schulz, Sébastien Dusuel, Román Orús, Julien Vidal, Ai Phillip Schmidt

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Abstract

We studied the robustness of a generalized Kitaev's toric code with ℤN 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 was performed for the perturbed ℤ3 toric code by applying a combination of high-order series expansions and variational techniques. We found strong evidence 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.

Original languageEnglish (US)
Article number025005
JournalNew Journal of Physics
Volume14
DOIs
StatePublished - Mar 2 2012

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    Schulz, M. D., Dusuel, S., Orús, R., Vidal, J., & Schmidt, A. P. (2012). Breakdown of a perturbed ℤN topological phase. New Journal of Physics, 14, [025005]. https://doi.org/10.1088/1367-2630/14/2/025005