Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 14: Correlated Electrons: Low-Dimensional Systems - Models 2

TT 14.6: Vortrag

Montag, 11. März 2013, 16:15–16:30, H9

Topological phase transitions in a perturbed Fibonacci string-net model — •Marc Daniel Schulz^1,3, Sébastien Dusuel², Kai Phillip Schmidt¹, and Julien Vidal³ — ¹Lehrstuhl für Theoretische Physik I, Technische Universität Dortmund, Otto-Hahn-Straße 4, 44221 Dortmund, Germany — ²Lycée Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris, France — ³Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France

Topological order has gained enormous interest during the last years. This is also due to the fact that topologically-ordered systems harbour excitations with exotic exchange statistics, the so-called non-Abelian anyons, which are of interest for the purpose of topological quantum computation. Here, we present a study on the simplest model of Levin-Wen type featuring non-Abelian Fibonacci anyons in the presence of a local perturbation. The phase diagram is obtained by means of high-order series expansions and exact diagonalizations. Most interestingly, evidences for first-order and second-order quantum phase transitions are found.