PIRSA:17120009

Video URL

https://pirsa.org/17120009

Fermion condensation and superconducting string-nets

Aasen, D. (2017). Fermion condensation and superconducting string-nets. Perimeter Institute for Theoretical Physics. https://pirsa.org/17120009

Aasen, David. Fermion condensation and superconducting string-nets. Perimeter Institute for Theoretical Physics, Dec. 07, 2017, https://pirsa.org/17120009 

          @misc{ scivideos_PIRSA:17120009,
            doi = {10.48660/17120009},
            url = {https://pirsa.org/17120009},
            author = {Aasen, David},
            keywords = {Mathematical physics},
            language = {en},
            title = {Fermion condensation and superconducting string-nets},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {dec},
            note = {PIRSA:17120009 see, \url{https://scivideos.org/index.php/pirsa/17120009}}
          }

David Aasen California Institute of Technology

Talk numberPIRSA:17120009
DOI10.48660/17120009
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

A great deal of progress has been made toward a classification of bosonic topological orders whose microscopic constituents are bosons. Much less is known about the classification of their fermionic counterparts. In this talk I will describe a systematic way of producing fermionic topological orders using the technique of fermion condensation. Roughly, this can be understood as binding a physical fermion to an emergent fermion and condensing the pair. I will discuss the `super pivotal categories' that describe universal properties of these phases and use them to construct exactly solvable string-net models. These string-net models feature conventional anyons and two flavours of vortices. I will show that one of the vortex types is similar to a vortex in a p+ip superconductor binding a Majorana zero mode, and will mention some possible applications.