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Projected entangled-pair states (PEPS), higher-dimensional generalizations 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 short-range 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 states with broken time-reversal symmetry. In this talk, I will present our recent results on constructing explicit examples of PEPS, which belong to Chern insulators and topological superconductors with nonzero Chern number. These provide a proof-of-principle result that PEPS can describe chiral topological states.

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Honghao Tu, MPQ Garching
Physik-Container
Contact: Thomas Quella