Long-Range Order in the Frustrated XXZ Model

抄録

We examine the existence of long-range order in the two-dimensional frustrated XXZ model with next nearest neighbor interactions using the spin wave theory and the method of infrared bounds. The results show that the XY-like system may have essentially the same properties as the isotropic Heisenberg case, while the Ising-like system is very unlikely to show non-classical behavior. We also prove the absence of twisted order.