Teo, J. (2013). Twist Defects in Topological Systems with Anyonic Symmetries. Perimeter Institute for Theoretical Physics. https://pirsa.org/13110078
MLA
Teo, Jeffrey. Twist Defects in Topological Systems with Anyonic Symmetries. Perimeter Institute for Theoretical Physics, Nov. 08, 2013, https://pirsa.org/13110078
BibTex
@misc{ scivideos_PIRSA:13110078,
doi = {10.48660/13110078},
url = {https://pirsa.org/13110078},
author = {Teo, Jeffrey},
keywords = {},
language = {en},
title = {Twist Defects in Topological Systems with Anyonic Symmetries},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2013},
month = {nov},
note = {PIRSA:13110078 see, \url{https://scivideos.org/pirsa/13110078}}
}
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.