Dresden 2011 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 11: Poster Session: Matter at Low Temperature
TT 11.15: Poster
Montag, 14. März 2011, 14:00–18:00, P4
Abelian Z(N) topological order and its breakdown — •Marc Daniel Schulz1, Julien Vidal2, Sébastien Dusuel3, and Kai Phillip Schmidt1 — 1Lehrstuhl für Theoretische Physik I, TU Dortmund, Otto-Hahn-Straße 4, D-44221 Dortmund, Germany — 2Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France — 3Lycée Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris, France
In the last years, topologically ordered systems gained much interest. Typical phenomenology uses models like Wen’s plaquette model or the Toric Code proposed by Kitaev, which are exactly solvable models exhibiting topologically ordered ground states. Excitations in these models are Z(2) Abelian anyons which are completely local because they are protected by conservation laws. Here we present a generic extension of these type of models to the Z(N) case which possess a richer ground state degeneracy and a richer excitation spectrum. The major aim is to understand the robustness of the highly-entangled topologically ordered states against local perturbations. To this end we study for the cases N=3,4 the effect of external magnetic fields which results in mobile and interacting anyonic excitations.