Ordered magnetic phase in a frustrated spin-1/2 Heisenberg antiferromagnetic stacked square lattice

We use cluster mean-field theory, multiple block-product state, and nested cluster methods to study the ground state of a frustrated spin-1/2 Heisenberg antiferromagnetically stacked square lattice at zero temperature. By analyzing the magnetic order parameter and the geometric measure of entanglement, we find that the stacked model produces a new ordered magnetic phase because of the competition between the interlayer coupling, J(c), and the frustrated interaction, J(2). The interlayer coupling, J(c), strengthens the long-range Neel phase, the new phase, and the collinear phase and destroys the disordered quantum paramagnetic (QP) phase. Increasing J(c) results in the new phase gradually replacing the QP phase. The QP phase disappears at the critical point J(2)* = 0.5 and J(c)* = 0.12.