Non-abelian behavior of vortices in p-wave superconductors

Question

I am trying to understand why vortices in p-wave superconductors are actually non-abelian anyons and how this relates to Majorana modes.

However I am having a hard time finding proper resources (in particular since my background in superconductivity is not too strong)? These lecture notes that I found: http://www.phys.s.u-tokyo.ac.jp/curriculum/documents/2013lecture6_ver2.pdf are great in spirit but they lack some detail.

Can someone provide me with recommendations on what to read and where to start?

This post imported from StackExchange Physics at 2014-03-05 14:37 (UCT), posted by SE-user MrLee

Answer 1

I recommend the original papers,

[1]N. Read and D. Green, Phys. Rev. B 61 (2000), 10267 and

[2]D. A. Ivanov, Phys. Rev. Lett. 86 (2001), 268.

If you can understand the Bogoliubov-de Genns equation with the p wave order parameter, calculations are straightforward.

I also recommend the paper which contains the similar calculation,

[3]V. Gurarie and L. Radzihovsky, Ann. Phys. 322 (2007), 2.

This post imported from StackExchange Physics at 2014-03-05 14:37 (UCT), posted by SE-user K. K.