Hubbard model for spin-1 Haldane chains

Abstract

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.

Revised version, including Supplemental Material

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• Superexchange Mechanism in Coupled Triangulenes Forming Spin-1 Chains
• Multi-frequency control and measurement of a spin-7/2 system encoded in a transmon qudit
• Magnetic frustration and fractionalization in oligo(indenoindenes)
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Two qubit gate with macroscopic singlet-triplet qubits in synthetic spin-one chains in InAsP quantum dot nanowires
• Persistent Haldane Phase in Carbon Tetris Chains
• Identification and optimization of accurate spin models for Fermi-Hubbard ladders using matrix product states
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field