Nematic Order in Two-Dimensional Frustrated Quantum Antiferromagnets

The zero temperature phases of two-dimensional frustrated quantum antiferromagnets continue to puzzle physicists despite many years of intense interest. In particular, frustration often leads to a complex interplay of strong quantum fluctuations with a tendency towards the spontaneous breaking of lattice symmetries. Here, we present a study of the J1-J3 quantum Heisenberg antiferromagnet on a square lattice. We apply the large-N technique to a low-energy effective field theory and map out the phase diagram as a function of frustration, paying particular attention to how lattice symmetries are realized in the continuum.