Projected entangled-pair states for chiral topological phases
Dr. Hong-Hao Tu (Max-Planck-Institut für Quantenoptik, Garching)

Projected entangled-pair states (PEPS), higher-dimensional generalization of matrix-product states in one dimension, provide a useful representation for topological states. Many examples of nonchiral topological states, such as toric code and resonating valence-bond states, allow exact PEPS representations. One of the challenging question in this field is to understand whether PEPS can describe chiral topological phases with broken time-reversal symmetry. In this talk, I will present our recent results on constructing explicit examples of chiral PEPS, which including both free fermionic ones (Chern insulators and topological superconductors) and interacting ones. These provide a proof-of-principle result that PEPS are useful for describing chiral topological states.