Ground-state phase diagram of the quantum $J_1-J_2$ model on the square lattice

Abstract

We study the ground-state phase diagram of the quantum $J_1-J_2$ model on the square lattice by means of an entangled-plaquette variational ansatz. In the range $0\le J_2/J_1\le 1$, we find classical magnetic order of Néel and collinear type, for $J_2/J_1\lesssim 0.5$, and $J_2/J_1\gtrsim 0.6$ respectively. For intermediate values of $J_2/J_1$ the ground state is a spin liquid (i.e., paramagnetic with no valence bond crystalline order). Our estimates of the entanglement entropy show that such a spin liquid is topological.

6 pages, 5 figures

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