PIRSA:15110024 Scientific Series Other

DOI10.48660/15110024

Series: Colloquium

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}}
}

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.

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