Regensburg 2007 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 20: Correlated Electrons - Poster Session

TT 20.71: Poster

Mittwoch, 28. März 2007, 14:00–17:45, Poster A

Non-Abelian Statistics in a Quantum Antiferromagnet — •Ronny Thomale and Martin Greiter — Institut für Theorie der Kondensierten Materie, D 76128 Karlsruhe

Non-abelian anyons are traditionally associated with the Pfaffian state for an incompressible quantum Hall state at filling fraction ν=1/2, a state thought to be realized experimentally in the second Landau level, i.e., at ν=5/2. The characteristic property is that states with many non-abelian anyons possess an internal degeneracy. The internal space configuration changes as the particles are adiabatically interchanged, i.e., the space is spanned by the different permutations of otherwise identical particles. Since the internal configurations are insensitive to external perturbations which do not move the particles, non-abelian anyons have received exceptional interest in the field of quantum computing. In this work, we present a universality class of two dimensional spin liquids for spin 1 antiferromagnets which support spinon excitations obeying non-abelian statistics. We motivate a Hamiltonian which we expect to stabilize these spin liquids.