The Ground-State Energy of the Heisenberg Antiferromagnet with Anisotropic Exchange Interaction : Condensed Matter and Statistical Physics

概要

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The ground-state energy of the Heisenberg antiferromagnet with the XY-1ike anisotropy is examined with the use of a revised form of the Holstein-Primakoff transformation. The energy is calculated perturbationally with 1/S as an expansion parameter, S being the magnitude of spin. The contribution from the kinematical interaction of spin waves is shown to be of the order of exp(-aS) (a>0) except for the linear chain, and accordingly negligible in the asymptotic expansion in 1/S. The obtained ground-state energy agrees up to 1/S^2 with that obtained earlier for bipartite lattices. For non-bipartite lattices, there is an extra term of O(1/S^2) which has not been considered hitherto. The coefficient of the order 1/S^2 for the triangular lattice is calculated numerically.
理論物理学刊行会の論文
1985-09-25