The Haldane phase for antiferromagnetic spin-1 chains is a celebrated topological state of matter, featuring gapped excitations and fractional spin-1/2 edge states. Here, we provide numerical evidence that this phase can be realized with a Hubbard model at half filling, where each s=1 spin is stored in a four-site fermionic structure. We find that the noninteracting limit of our proposed model describes a one-dimensional topological insulator, and we conjecture it to be adiabatically connected to the Haldane phase. Our work suggests a route to build spin-1 networks using Hubbard model quantum simulators.
@article{arxiv.2110.07442,
title = {Hubbard model for spin-1 Haldane chains},
author = {G. Catarina and J. Fernández-Rossier},
journal= {arXiv preprint arXiv:2110.07442},
year = {2023}
}