Regensburg 2013 – scientific programme

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TT: Fachverband Tiefe Temperaturen

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

TT 14.2: Talk

Monday, March 11, 2013, 15:15–15:30, H9

Series expansions in topologically-ordered systems — Michael Kamfor¹, Sebastien Dusuel², Julien Vidal³, and •Kai Phillip Schmidt¹ — ¹Lehrstuhl für Theoretische Physik I, TU Dortmund, Germany — ²Lycee Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris, France — ³Laboratoire de Physique Théorique de la Matiere Condensee, CNRS UMR 7600, Universite Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France

We establish high-order series expansions as a powerful tool to study topologically-ordered quantum systems. In recent years, this has been demonstrated for various magnetic models including the toric code in an external magnetic field. The main focus of these studies were the determination of the zero-temperature phase diagram which demands to pinpoint and to characterize topological phase transitions. To this end the calculation of zero- and one-quasi-particle properties is essential. Here we study for the first time two-quasi-particle properties for the perturbed toric code. We identify bound states, formed by interacting anyons and determine dynamical correlation functions.