Approaching Frustrated Magnetism with Symmetric PEPS (Ji-Yao Chen)
- Date: Sep 18, 2018
- Time: 11:30 AM - 12:30 PM (Local Time Germany)
- Speaker: Dr. Ji-Yao Chen, Laboratoire de Physique Théorique, Université de Toulouse III Paul Sabatier
- Room: New Lecture Hall, Room B 0.32
- Host: MPQ, Theory Division
Combining the framework of PEPS with various symmetries, e.g. SU(2) spin
rotation symmetry, translation symmetry, and point group symmetry, which
are present in typical Heisenberg antiferromagnets, a comprehensive
classification of PEPS tensors on the square lattice has been achieved.
Using tensors belonging to some specific classes as a variational
manifold allows us to study frustrated magnets in a controlled way. To
illustrate the complexity of these manifolds, I will first present the
phase diagram of a one-parameter family of long-range resonating valence
bond (RVB) state, where we found a topological Z_2 RVB phase, sandwiched
by two critical phases. Then I will move on to using these manifolds to
study frustrated spin-1 antiferromagnets, where a nematic spin liquid
phase and a non-abelian chiral spin liquid phase have been identified.
Some perspectives will be discussed at the end.