Classifying and detecting symmetry fractionalization in gapped 2D spin liquids

Speaker: 
Dr. Yang QI (PI, Waterloo)
Event Date and Time: 
Mon, 2015-09-21 12:00 - 13:00
Location: 
Hennings 318
Local Contact: 
Fei Zhou
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.
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