From one to two dimensions in quantum spin systems

Abstract

We study the first derivative of the staggered magnetization squared $d{m}^{†}(\theta {)}^2/d\theta$ and the second derivative $d^2{e}_0(\theta )/d{\theta }^2$ 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.

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

References in corpus (5)

• A Plane of Weakly Coupled Heisenberg Chains: Theoretical Arguments and Numerical Calculations
• Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field
• The two dimensional antiferromagnetic Heisenberg model in the presence of an external field
• Finite Size Analysis of the Structure Factors in the Antiferromagnetic XXZ Model
• Computation of Dynamical Structure Factors with the Recursion Method

Cited by in corpus (2)

• Absence of long-range order in a spin-half Heisenberg antiferromagnet on the stacked kagome lattice
• Magnetic Order-Disorder Transition in the Two-Dimensional Spatially Anisotropic Heisenberg Model at Zero Temperature