Orientation matters: interaction effects in topological insulators and superconductors
APA
Ryu, S. (2015). Orientation matters: interaction effects in topological insulators and superconductors . Perimeter Institute. https://pirsa.org/15110024
MLA
Ryu, Shinsei. Orientation matters: interaction effects in topological insulators and superconductors . Perimeter Institute, Nov. 04, 2015, https://pirsa.org/15110024
BibTex
@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}} }
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.