Construction and analysis of SU(3) spin liquids and resonating trimer models using Projected Entangled Pair States
Abstract: Topological spin liquids are novel phases of matter where spins order topologically rather than magnetically, making them challenging to construct and analyze. In my talk, I will explain how Projected
Entangled Pair States (PEPS) can be used to construct and characterize topological spin liquid wavefunctions with SU(N) symmetry. In particular, I will introduce two ways to generalize the kagome SU(2)
Resonating Valence Bond spin liquid to SU(3) - the first of which can be linked to RG fixed points, and the other to resonating trimer models. I will show how the PEPS description allows us to analyze these models, and in particular gives us direct access to order parameters for anyons which enable us to explicitly characterize the
topological features of the system.