Topological Field Theory for p-wave Superconductors
Hans Hansson
Wednesday, 16 May 2012, 10:30
Matfys library
Abstract:
In this talk I will first give a short background to topological field
theories for superconductors and then present resent results on a
proposed a topological field theory for a spinless 2D chiral
superconductor that contains fundamental Majorana fields. Due to a
fermionic gauge symmetry, the Majorana modes survive asdynamical degrees
of freedom only at magnetic vortex cores, and on edges. These modes
havethe topological properties pertinent to a p-wave superconductor
including the non-abelian braidingstatistics. I also briefly discuss the
connection to the Moore-Read Pfaffian quantum Hall state,and extensions
to the spin-full case and to 3D topological superconductors.