A Rotating-Valence-Bond scenario for the 2D Antiferromagnetic Heisenberg Model

TL;DR

This paper introduces a novel rotating-valence-bond ground state scenario for the 2D antiferromagnetic Heisenberg model, using a real space renormalization group approach to analyze its properties across different spin values.

Contribution

It proposes a new rotating-valence-bond ground state ansatz and provides an analytic, semiclassical framework applicable for any spin value in the 2D AF Heisenberg model.

Findings

Analytic expressions for energy and magnetization derived

Valid for any spin S, enabling broad applicability

Supports the rotating-valence-bond hypothesis in 2D AF systems

Abstract

We propose that the valence bonds forming the ground state of the 2D-AF Heisenberg model on a square lattice may rotate under the effect of the antiferromagnetic background. To test this idea we apply a real space renormalization group approach to construct a rotating-valence-bond ground state anstaz. Our results are analytic and valid for any value of the spin S of the AF-magnet, which allow us to perfom semiclassical expansions of the energy and the staggered magnetization.