Phase Diagram of a Quantum Ising Model with Long-Range Interactions

Advancements in utilizing ultra-cold gases as quantum spin simulators are allowing for the exploration of frustrated networks in two-dimensional spin-1/2 systems. Frustrated exchange interactions can result in exotic states and excitations, such as quantum spin liquids and spin glasses. Here we investigate the effect of long-range interactions in the quantum XXZ model on a square lattice. The complete phase diagram of the model is obtained utilizing exact diagonalization and the stability of all phases is discussed.