"Modeling and characterizing chiral topological states in two-dimensional lattices".

"Chiral topological states are exotic quantum phases of matter in two dimensions with broken time-reversal symmetry (e.g. fractional quantum Hall states). These states support topological ground state degeneracy, stable gapless edge excitations, and quasiparticles carrying fractional charges and fractional statistics. In this talk, I will discuss the bulk-edge correspondence as a powerful tool for modeling and characterizing chiral topological phases in 2D lattices. In the first part, I will describe how chiral topological wave functions and their parent Hamiltonians can be constructed by using the chiral correlators of the edge conformal field theory. In the second part, I will introduce a new quantity named as momentum polarization, which allows extracting topological spin and chiral central charge from the ground-state wave functions and provides an efficient approach to identify 2D chiral topological states from finite-size numerics."