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.

arXiv comment8 pages, 6 figures (published version)

References in corpus (46)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Time-evolution methods for matrix-product states
• A Field Guide to Spin Liquids
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Neel order in square and triangular lattice Heisenberg models
• Time-evolving a matrix product state with long-ranged interactions
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Imaging spinon density modulations in a 2D quantum spin liquid
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Variational matrix product ansatz for dispersion relations
• Chebyshev matrix product state approach for spectral functions
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Superconductivity from weak repulsion in hexagonal lattice systems
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Parton theory of magnetic polarons: Mesonic resonances and signatures in dynamics
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Density matrix renormalization group on a cylinder in mixed real and momentum space
• Tunneling spectroscopy of quantum spin liquids
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Angle-resolved photoemission spectroscopy with quantum gas microscopes
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Microscopic spinon-chargon theory of magnetic polarons in the t-J model
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Hubbard ladders at small $U$ revisited
• Adaptive Lanczos-vector method for dynamic properties within the density-matrix renormalization group
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
• Gapless spin liquid and pair density wave of the Hubbard model on three-leg triangular cylinders
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids

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