PIRSA:15110024

Orientation matters: interaction effects in topological insulators and superconductors

Ryu, S. (2015). Orientation matters: interaction effects in topological insulators and superconductors . Perimeter Institute. https://pirsa.org/15110024

Ryu, Shinsei. Orientation matters: interaction effects in topological insulators and superconductors . Perimeter Institute, Nov. 04, 2015, https://pirsa.org/15110024 

          @misc{ pirsa_PIRSA:15110024,
            doi = {10.48660/15110024},
            url = {https://pirsa.org/15110024},
            author = {Ryu, Shinsei},
            keywords = {Other},
            language = {en},
            title = {Orientation matters: interaction effects in  topological insulators and superconductors },
            publisher = {Perimeter Institute},
            year = {2015},
            month = {nov},
            note = {PIRSA:15110024 see, \url{https://pirsa.org}}
          }

Shinsei Ryu University of Illinois at Urbana-Champaign (UIUC)

DOI 10.48660/15110024
Collection
Talk Type Scientific Series
Subject

Abstract

Topological phases of matter are phases of matter which are not characterized
by classical local order parameters of some sort. Instead, it is the global properties
of quantum many-body ground states which distinguish one topological phase from
another. One way to detect such global properties is to put the system on a topologically
non-trivial space (spacetime). For example, topologically ordered phases in (2+1)
dimensions exhibit ground state degeneracy which depends on the topology of the spatial manifold.
In this talk, I will discuss how one can use a {\it unoriented} space (spacetime)
to detect non-trivial properties of topological phases of matter in the presence
of discrete spacetime symmetry, such as time-reversal or reflection symmetry.
In particular, I will show how interaction effects on topological insulators and
superconductors can be understood using quantum anomalies on unoriented spacetime.