First-order transition between the plaquette valence bond solid and antiferromagnetic phases of the Shastry-Sutherland model

Understand

We study the ground state phase diagram of the Shastry-Sutherland model by using the variational optimization of the infinite tensor network states, and find a weakly first-order transition between the plaquette and the antiferromagnetic states.

• The full plaquette state strongly competes with the empty plaquette ground state, with an energy difference less than $10^{-4}J$.
• We show a staggered ring exchange interaction that preserves the Shastry-Sutherland lattice symmetry can stabilize the full plaquette ground state.
• In light of this, we propose the triple point where the full plaquette, empty plaquette, and antiferromagnetic phases meet as a deconfined quantum critical point.