Chiral Pseudo Spin Liquids in Moire Heterostructures

Abstract

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows us to retain SU(2) symmetry while controlling ring-exchange processes and concurrently quenching the kinetic energy by large external magnetic fields. This way, a broad class of interacting Hubbard-Hofstadter states and their transitions can be studied. Remarkably, in the limit of strong interactions the system becomes Mott insulating and we find chiral pseudo spin liquid phases which are induced by the magnetic field. We find that this topologically ordered state remains exceptionally stable towards relevant perturbations. We discuss how layer pseudo-spin can be probed in near-term experiments. As the magnetic flux can be easily tuned in moire systems, our approach provides a promising route towards the experimental realization and control of topologically ordered phases of matter.

12+3 pages, 8+5 figures

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• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Confined Trions and Mott-Wigner States in a Purely Electrostatic Moiré Potential
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Single-particle spectral function of fractional quantum anomalous Hall states
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
• Electric field control of a quantum spin liquid in weak Mott insulators
• Chiral Wigner crystal phases induced by Berry curvature
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
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• Diagnosing electronic phases of matter using photonic correlation functions
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• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Partial suppression of magnetism in the square lattice SU(3) Hubbard model
• Searching for superconductivity in doped triangular lattice Kitaev magnets
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• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• Flux attachment theory of fractional excitonic insulators