Gravitational anomaly and topological phases
APA
Ryu, S. (2013). Gravitational anomaly and topological phases. Perimeter Institute. https://pirsa.org/13020148
MLA
Ryu, Shinsei. Gravitational anomaly and topological phases. Perimeter Institute, Feb. 28, 2013, https://pirsa.org/13020148
BibTex
@misc{ pirsa_PIRSA:13020148, doi = {10.48660/13020148}, url = {https://pirsa.org/13020148}, author = {Ryu, Shinsei}, keywords = {Condensed Matter}, language = {en}, title = {Gravitational anomaly and topological phases}, publisher = {Perimeter Institute}, year = {2013}, month = {feb}, note = {PIRSA:13020148 see, \url{https://pirsa.org}} }
University of Illinois at Urbana-Champaign (UIUC)
Collection
Talk Type
Subject
Abstract
Since the quantum Hall effect, the notion of topological
phases of matter has been extended to those that are well-defined (or:
``protected'') in the presence of a certain set of
symmetries, and that exist in dimensions higher than two. In the (fractional)
quantum Hall effects (and in ``chiral'' topological phases in general),
Laughlin's thought experiment provides a key insight into their topological
characterization; it shows a close connection between topological phases and
quantum anomalies.
By taking various examples, I will demonstrate that
quantum anomalies serve as a useful tool to diagnose (and even define)
topological properties of the systems.
For chiral topological phases in (2+1) dimensions and
(3+1) dimensional topological superconductors, I will discuss topological
responses of the system which involve a cross correlation between thermal
transport, angular momentum, and entropy. We also argue that gravitational
anomaly is useful to study symmetry protected topological phases in (2+1)
dimensions.