# Quantum Heisenberg antiferromagnetic chains with exchange and single--ion anisotropies

## TL;DR

This paper investigates the ground state phases of spin-1 Heisenberg chains with exchange and single-ion anisotropies using DMRG, revealing complex phase diagrams including novel features of spin-liquid and supersolid phases.

## Contribution

It provides a detailed phase diagram for the quantum spin-1 chain with anisotropies, highlighting new properties of spin-liquid and supersolid phases not previously characterized.

## Key findings

- Identification of antiferromagnetic, spin-liquid, and supersolid phases.
- Discovery of new features in spin-liquid and supersolid phases.
- Comparison between quantum and classical spin chain properties.

## Abstract

Using density matrix renormalization group calculations, ground state properties of the spin-1 Heisenberg chain with exchange and quadratic single-ion anisotropies in an external field are studied, for special choices of the two kinds of anisotropies. In particular, the phase diagram includes antiferromagnetic, spin-liquid (or spin-flop), (10), and supersolid (or biconical) phases. Especially, new features of the spin-liquid and supersolid phases are discussed. Properties of the quantum chains are compared to those of corresponding classical spin chains.