Ground state properties of antiferromagnetic anisotropic S=1 Heisenberg spin chains

TL;DR

This paper investigates the ground state properties and phase transitions of anisotropic S=1 antiferromagnetic Heisenberg spin chains using density matrix renormalization group techniques, revealing complex phase diagrams and incommensurate correlations.

Contribution

It provides a detailed analysis of quantum phase transitions and correlation functions in anisotropic S=1 chains, highlighting new incommensurate phases and transition behaviors.

Findings

Identification of quantum phase transitions between supersolid, spin-liquid, and ferromagnetic phases.

Discovery of commensurate and two distinct incommensurate regions in the spin-liquid phase.

Elucidation of the phase diagram with respect to anisotropies and external fields.

Abstract

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is known to display a plenitude of interesting phases. We elucidate quantum phase transitions between the supersolid and spin-liquid as well as the spin-liquid and the ferromagnetic phases. Analyzing spin correlation functions in the spin-liquid phase, commensurate and (two distinct) incommensurate regions are identified.