Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 41: CE: Low-dimensional Systems - Models 2

TT 41.4: Talk

Friday, March 26, 2010, 11:00–11:15, H21

Phase diagram of the kagomerized Kitaev model — •Michael Kamfor¹, Julien Vidal², Sébastien Dusuel³, and Kai Phillip Schmidt¹ — ¹Technische Universität Dortmund, Lehrstuhl für Theoretische Physik I, Germany — ²Université Pierre et Marie Curie Paris 06, France — ³Lycé Saint-Louis, 75006 Paris, France

One of the simplest spin models exhibiting topological order and Z2-anyonic Abelian as well as non-Abelian excitations is the Kitaev model on a trivalent 2D-lattice. The two kinds of anyons live in different phases of the system. The model can be transformed with Majorana fermionization onto free fermions in a static gauge field and is thus exactly solvable. The originally defined Kitaev model leads to an effective square lattice in the isolated dimer limit. We introduce a new kind of Kitaev model where the limit of isolated dimers yields an effective kagome lattice. We investigate the phase diagram for certain gauges depending on the three-spin coupling for both Kitaev models. Interestingly the phase diagram strongly depends on the gauge choice and shows a rich amount of distinct Abelian and non-Abelian phases.