From one to two dimensions in quantum spin systems

Details From one to two dimensions in quantum spin systems From one to two dimensions in quantum spin systems

1997-11-04

arxiv.org/abs/cond-mat/9711021v1

Physics

Condensed Matter

9 pages, ReVTeX with 8 figures, to be published in PRB

Scientific paper

10.1103/PhysRevB.57.956

We study the first derivative of the staggered magnetization squared $dm^\dag(\theta)^2/d\theta$ and the second derivative $d^2e_0(\theta)/d\theta^2$ of the ground state energy per site. The parameter $\theta$ controls the anisotropy between horizontal and vertical couplings in a two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model. It is shown, that both derivatives diverge at $\theta=1$, where the anisotropic 2D model reduces to the 1D model.

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