Speaker:

Dr. Yang QI (PI, Waterloo)

Event Date and Time:

Mon, 2015-09-21 12:00 - 13:00
Intended Audience:

Graduate

Quantum spin liquid states with intrinsic topological orders
supports fractionalized anyons excitations, and they can carry
fractional quantum numbers of spin rotational symmetry, time
reversal symmetry and crystal symmetries. This symmetry
fractionalization distinguishes different topologically ordered spin
liquid states. Different ways of fractionalizing crystal symmetries
can be classified through enumerating different combinations of
fractional quantum numbers of each type of anyons, but some
combinations are anomalous and can only be realized on the surface
of a 3D topological crystalline insulator instead of a true 2D
system. I will discuss the classification and detection of
(anomaly-free) symmetry fractionalization in $\mathbb Z_2$ and
chiral spin liquids.