Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy

TL;DR

This paper explores the phase diagram and excitation spectra of a one-dimensional S=1 Heisenberg antiferromagnet with single-ion anisotropy using advanced computational methods, revealing critical points and phase transitions.

Contribution

It provides precise estimates of critical points and excitation spectra for the model, combining series expansions and quantum Monte Carlo techniques for the first time.

Findings

Identification of phase boundaries in the quantum phase diagram

Accurate excitation spectra and energy gaps

Determination of critical points for phase transitions

Abstract

We investigate the zero-temperature phase diagram of the one-dimensional S=1 Heisenberg antiferromagnet with single-ion anisotropy. By employing high-order series expansions and quantum Monte Carlo simulations we obtain accurate estimates for the critical points separating different phases in the quantum phase diagram. Additionally, excitation spectra and gaps are obtained.