Hubbard model for spin-1 Haldane chains

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 can be realized with Hubbard model at half filling, where each $s=1$ spin stored in four-site fermionic structure. We find the noninteracting limit our proposed describes one-dimensional insulator, conjecture it to adiabatically connected phase. Our work suggests route build networks using quantum simulators.