Engineering the Kitaev spin liquid in a quantum dot system

Abstract

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev Hamiltonian can arise from a half-filled Fermi-Hubbard Hamiltonian where each site can experience a magnetic field in a different direction. As such, we provide a method for realizing the Kitaev spin liquid on a single hexagonal plaquette made up of twelve quantum dots. Despite the small system size, there are clear signatures of the Kitaev spin-liquid ground state, and there is a range of parameters where these signatures are predicted, allowing a potential platform where Kitaev spin-liquid physics can be explored experimentally in quantum dot plaquettes.

8+9 pages, 2+4 figures

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Cited by in corpus (5)

• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Promising regimes for the observation of topological degeneracy in spin chains
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice