A comparative study of the magnetization process of two-dimensional antiferromagnets

摘要: Plateaux in the magnetization curves of square-, triangular- and hexagonal-lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero-magnetization plateau (corresponding to spin gap) on square hexagonal lattice with Ising-like anisotropies, one-third saturation triangular which survives small amount easy-plane anisotropy. Here we start transfer-matrix computations for Ising limit continue series anisotropy boundaries using ground states limit. The main focus is then numerical computation anisotropies vicinity isotropic situation. Finally, discuss universality class associated asymptotic behaviour curve close saturation, as observed numerically two higher dimensions.