Spin correlation functions and N\'{e}el order in the 2D Heisenberg model: Effects of spatial anisotropy

TL;DR

This paper investigates how spatial anisotropy affects the ground-state magnetic properties of the 2D spin-1/2 Heisenberg antiferromagnet, revealing insights into magnetic order and correlations relevant to experimental materials.

Contribution

It provides a detailed analysis of the effects of spatial anisotropy on spin correlations and magnetic order using Green's-function projection methods, offering new understanding of anisotropic quantum antiferromagnets.

Findings

Anisotropy influences the balance between long- and short-range magnetic order.

Calculated staggered magnetization varies with anisotropy parameters.

Results align qualitatively with experimental observations on cuprate materials.

Abstract

The ground-state properties of the square-lattice spin-1/2 Heisenberg antiferromagnet with spatially anisotropic couplings are investigated by Green's-function projection approaches. The staggered magnetization and the two-spin correlators are calculated; the competition between magnetic long- and short-range order is discussed in comparison with experiments on $\rm Sr_2[Ca_2]CuO_3$.