Quantum spin compass models in 2D electronic topological metasurfaces

Abstract

We consider a metasurface consisting of a square lattice of cylindrical antidots in a two-dimensional topological insulator (2DTI). Each antidot supports a degenerate Kramer's pair of eigenstates formed by the helical topological edge states. We show that the on-site Coulomb repulsion leads to the onset of the Mott insulator phase in the system in a certain range of experimentally relevant parameters. Intrinsic strong spin-orbit coupling characteristic for the 2DTI supports a rich class of the emerging low-energy spin Hamiltonians which can be emulated in the considered system, which makes it an appealing solid state platform for quantum simulations of strongly correlated electron systems.

References in corpus (11)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• The Quantum Spin Hall Effect: Theory and Experiment
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Orbital ordering and frustration of $p$-band Mott-insulators
• Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
• Z2 invariant protected bound states in topological insulators
• A Semiconductor Topological Photonic Ring Resonator
• Quantum Hall Bilayer as Pseudospin Magnet