Hubbard model for spin-1 Haldane chains
Gonçalo Catarina, J. Fernández‐Rossier
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.
Topics & Concepts
Hubbard modelAntiferromagnetismPhysicsSpin (aerodynamics)ConjectureQuantumPhase (matter)Limit (mathematics)Condensed matter physicsTopology (electrical circuits)Quantum mechanicsMathematicsSuperconductivityMathematical analysisCombinatoricsThermodynamicsPure mathematicsPhysics of Superconductivity and MagnetismQuantum many-body systemsQuantum and electron transport phenomena