Session Z26: General Theory / Computational Physics II
11:15 AM–12:39 PM, Friday, March 2, 2012
Room: 257B
Sponsoring Unit:
DCOMP
Chair: Timothy Germann, Los Alamos National Laboratory
Abstract ID: BAPS.2012.MAR.Z26.2
Abstract: Z26.00002 : Emergent Anyons in Exactly Solvable Discrete Models for Topological Phases in Two Dimensions
11:27 AM–11:39 AM
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Abstract 
Authors:
Yuting Hu
(Department of Physics and Astronomy, University of Utah)
Spencer Stirling
(Department of Physics and Astronomy, University of Utah)
Yong-Shi Wu
(Department of Physics and Astronomy, University of Utah)
Anyons can emerge as collective excitations in models of topological phases. Exactly solvable discrete models that describe two-dimensional topological phases were proposed by Kitaev, and Levin and Wen respectively. I will present the explicit form of the operators that create and move fluxons (anyonic quasiparticles living at the plaquettes) in the Levin-Wen models. The exchange and exclusion statistics of these fluxons are studied. In particular, I will discuss the topological properties of Fibonacci anyons emerging in a particular Levin-Wen model.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.Z26.2