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  • Letter

Hubbard model for spin-1 Haldane chains

G. Catarina1,2,3,* and J. Fernández-Rossier1,†

  • 1QuantaLab, International Iberian Nanotechnology Laboratory (INL), 4715-330 Braga, Portugal
  • 2Departamento de Física Aplicada, Universidad de Alicante, 03690 San Vicente del Raspeig, Spain
  • 3Centro de Física das Universidades do Minho e do Porto, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal

  • *goncalo.catarina@inl.int
  • †On leave from Departamento de Física Aplicada, Universidad de Alicante, 03690 San Vicente del Raspeig, Spain.

Phys. Rev. B 105, L081116 – Published 28 February, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L081116

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.

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