Frustrated J_1-J_2-J_3 Heisenberg antiferromagnet on the simple cubic lattice

摘要

We use series expansion methods to investigate the phase diagram of a frustrated spin-1/2 Heisenberg antiferromagnet on the simple cubic lattice, with interactions extending to third neighbors. Our results do not support a recent prediction of a rather large paramagnetic phase at zero temperature, but do show behavior which may be indicative of a small disordered region near the point of maximum frustration.