PIRSA:13110078  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Twist Defects in Topological Systems with Anyonic Symmetries
Speaker(s): Jeffrey Teo
Abstract: Twist defects are point-like objects that support robust non-local storage of quantum information and non-abelian unitary operations. Unlike quantum deconfined anyonic excitations, they rely on symmetry rather than a non-abelian topological order. Zero energy Majorana bound states can arise at lattice defects, such as disclinations and dislocations, in a topological crystalline superconductor. More general parafermion bound state can appear as twist defects in a topological phase with an anyonic symmetry, such as a bilayer fractional quantum Hall state and the Kitaev toric code. They are however fundamentally different from quantum anyonic excitations in a true topological phase. This is demonstrated by their unconventional exchange and braiding behavior, which is characterized by a modified spin statistics theorem and modular invariance.
Date: 08/11/2013 - 11:15 am
Collection: PI-UIUC 2013
Valid XHTML 1.0!