A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice

TL;DR

This study employs tensor network methods to map out the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on a square lattice, revealing a novel partially nematic partially magnetic phase.

Contribution

It provides the first comprehensive phase diagram of this model on the square lattice using infinite projected entangled pair states, discovering a new intermediate phase.

Findings

Identification of a partially nematic partially magnetic phase

All phases are characterized and phase transitions discussed

The phase diagram is mapped directly in the thermodynamic limit

Abstract

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar and ferromagnetic regions. Furthermore, we describe all observed phases and discuss the nature of the phase transitions involved.