Synthetic gauge fields stabilize a chiral spin liquid phase

Abstract

We calculate the phase diagram of the SU($N$) Hubbard model describing fermionic alkaline earth atoms in a square optical lattice with on-average one atom per site, using a slave-rotor mean-field approximation. We find that the chiral spin liquid predicted for $N\ge 5$ and large interactions passes through a fractionalized state with a spinon Fermi surface as interactions are decreased before transitioning to a weakly interacting metal. We also show that by adding an artificial uniform magnetic field with flux per plaquette $2\pi /N$, the chiral spin liquid becomes the ground state for all $N\ge 3$ at large interactions, persists to weaker interactions, and its spin gap increases, suggesting that the spin liquid physics will persist to higher temperatures. We discuss potential methods to realize the artificial gauge fields and detect the predicted phases.

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Cited by in corpus (31)

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• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
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• State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Chiral spin liquid phase in an optical lattice at mean-field level
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Floquet dynamical chiral spin liquid at finite frequency
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
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• Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice
• Detuning the Floquet anomalous chiral spin liquid