Proposal to frustrated spin model in optical lattices

We propose a setup to generate next-nearest neighbor hoppings with the amplitude comparable to nearest neighbor hoppings in optical lattices. The effective model can be described as a frustrated spin model. We also study the phase diagram with the recently developed tensor network algorithm based on infinite projected entangled pair states (iPEPS). The simulation indicates a promising spin liquid phase in a finite parameter region, where magnetic of valence bond solid order vanish.