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 - 2012

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