Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model

Abstract

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization challenging, and finding ways to diagnose quantum spin liquids is therefore a pertinent challenge. Here, we numerically compute the spectral function of a single hole doped into the half-filled Hubbard model on the triangular lattice using techniques based on matrix product states. At half-filling the system has been proposed to realize a chiral spin liquid at intermediate interaction strength, surrounded by a magnetically ordered phase at strong interactions and a superconducting/metallic phase at weak interactions. We find that the spectra of these phases exhibit distinct signatures. By developing appropriate parton mean-field descriptions, we gain insight into the relevant low-energy features. While the magnetic phase is characterized by a dressed hole moving through the ordered spin background, we find indications of spinon dynamics in the chiral spin liquid. Our results suggest that the hole spectral function, as measured by angle-resolved photoemission spectroscopy, provides a useful tool to characterize quantum spin liquids.

8 pages, 6 figures (published version)

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• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Mott-moiré excitons
• Holes and magnetic polarons in a triangular lattice antiferromagnet
• Electromagnetic signatures of chiral quantum spin liquid
• Generating function for projected entangled-pair states
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Fast Time-Evolution of Matrix-Product States using the QR decomposition
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Single-particle spectral function of fractional quantum anomalous Hall states
• Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions
• Electric field control of a quantum spin liquid in weak Mott insulators
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Chiral spin liquid phase in an optical lattice at mean-field level
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators