New Paired-Wavefunction for the Frustrated Antiferromagnetic Spin-Half Chain

TL;DR

This paper introduces a new paired-wavefunction model for the frustrated antiferromagnetic spin-half chain, bridging known wavefunctions and providing a novel approach to describe its ground state.

Contribution

It proposes a parameterized paired-wavefunction that interpolates between the Jastrow-product and the Majumdar-Ghosh dimer-wavefunction, offering an alternative to resonating-valence-bond states.

Findings

Numerical evidence supports the effectiveness of the new wavefunction.

The wavefunction accurately describes the ground state without long-range order.

Provides a flexible framework for studying frustrated spin chains.

Abstract

I propose a new paired-wavefunction with a parameter that continuously interpolates from the 1D Jastrow-product to the Majumdar-Ghosh dimer-wavefunction appropriate for the frustrated Heisenberg $S = 1/2$ antiferromagnet. This spin paired-state constructed in $S_z$ basis is an alternative to the well-known resonating-valence-bond basis state for describing the $S = 0$ ground-state with no apparent long-range spin order. Some numerical evidences are presented.