The 1D spin-1/2 AF-Heisenberg model in a staggered field

TL;DR

This paper studies the effects of external staggered and dimerized fields on the excitation energies and transition amplitudes of the 1D spin-1/2 antiferromagnetic Heisenberg model, revealing how these perturbations influence its scaling properties.

Contribution

It provides a detailed analysis of the scaling behavior of excitation energies and transition amplitudes under staggered and dimerized perturbations in the 1D spin-1/2 AF-Heisenberg model.

Findings

Scaling properties depend on the type of external perturbation.

Staggered and dimerized fields induce distinct changes in excitation spectra.

Results enhance understanding of quantum phase transitions in 1D spin systems.

Abstract

We investigate the scaling properties of the excitation energies and transition amplitudes of the one-dimensional spin-$1\over 2$ antiferromagnetic Heisenberg model exposed to an external perturbation. Two types of perturbations are discussed in detail: a staggered field and a dimerized field.