PIRSA:16050054

Video URL

https://pirsa.org/16050054

Reduction of the classification of topological insulators and superconductors by quartic interactions

(2016). Reduction of the classification of topological insulators and superconductors by quartic interactions. Perimeter Institute for Theoretical Physics. https://pirsa.org/16050054

Reduction of the classification of topological insulators and superconductors by quartic interactions. Perimeter Institute for Theoretical Physics, May. 31, 2016, https://pirsa.org/16050054 

          @misc{ scivideos_PIRSA:16050054,
            doi = {10.48660/16050054},
            url = {https://pirsa.org/16050054},
            author = {},
            keywords = {Quantum Matter},
            language = {en},
            title = {Reduction of the classification of topological insulators and superconductors by quartic interactions},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2016},
            month = {may},
            note = {PIRSA:16050054 see, \url{https://scivideos.org/pirsa/16050054}}
          }
Talk numberPIRSA:16050054
DOI10.48660/16050054
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss the stability and breakdown of the topological classification of gapped ground states of non-interacting fermions, the tenfold way, in the presence of quartic fermion-fermion interactions.  In our approach [1], the effects of interactions on the boundary gapless modes are encoded in terms of boundary dynamical masses. Breakdown of the non-interacting topological classification occurs when the quantum nonlinear sigma models for the boundary dynamical masses favor quantum disordered phases.  The non-interacting topological classification $Z$ in odd spatial dimensions is unstable and reduces to $Z_N$ that can be identified explicitly for any dimension and any defining symmetries.
[1] T. Morimoto, A. Furusaki, and C. Mudry, Phys. Rev. B 91, 235111 (2015).