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TT: Fachverband Tiefe Temperaturen

TT 19: Correlated Electrons: (General) Theory 2

TT 19.9: Talk

Tuesday, March 27, 2012, 12:00–12:15, H 3010

Robustness of a perturbed topological phase — Michael Kamfor¹, Sebastien Dusuel², Roman Orus³, Julien Vidal⁴, and •Kai Phillip Schmidt¹ — ¹Lehrstuhl für Theoretische Physik I, TU Dortmund, Germany — ²Lycée Saint-Louis, 75006 Paris, France — ³Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany — ⁴LPTMC, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France

We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion approaches. We find that when this perturbation is strong enough, the system undergoes a topological phase transition whose first- or second-order nature depends on the field orientation. Our work represents the first high-order series expansion for the anyonic quasi-particles of a topological phase. As a consequence, we get access to the critical properties of the perturbed toric code.