Spin-charge bound states and emerging fermions in a quantum spin liquid

Abstract

The complex interplay between charge and spin dynamics lies at the heart of strongly correlated quantum materials, and it is a fundamental topic in basic research with far reaching technological perspectives. We explore in this paper the dynamics of holes in a single band extended $t-J$ model where the background spins form a ${\mathbb{Z}}_2$ quantum spin liquid (QSL). Using a field theory approach based on a parton construction, we show that while the electrons for most momenta fractionalize into uncorrelated charge carrying holons and spin carrying spinons as generally expected for a QSL, the spinon-holon scattering cross-section diverges for certain momenta signalling strong correlations. By deriving an effective low-energy Hamiltonian describing this dynamics, we demonstrate that these divergencies are due to the formation of long lived spinon-holon bound states. We then show that quantum gas microscopy with atoms in optical lattices provides an excellent platform for verifying and probing the internal spatial structure of these emergent fermions. The fermions will furthermore show up as clear quasiparticle peaks in angle-resolved photoemission spectroscopy with an intensity determined by their internal structure. For a non-zero hole concentration, the fermions form hole pockets with qualitatively the same location, shape, and intensity variation in the Brillouin zone as the so-called Fermi arcs observed in the pseudogap phase. Such agreement is remarkable since the Fermi arcs arise from the delicate interplay between the symmetry of the QSL and the internal structure of the emerging fermions in a minimal single band model with no extra degrees of freedom added. Our results, therefore, provide a microscopic mechanism for the conjectured fractionalized Fermi liquid and open up new pathways for exploring the pseudogap phase and high temperature superconductivity as arising from a QSL.

References in corpus (64)

• Theory of ultracold Fermi gases
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Theory of Underdoped Cuprates
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Biorthogonal Quantum Mechanics
• Fractionalized Fermi liquids
• A Phenomenological Theory of The Pseudogap State
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• The remarkable underlying ground states of cuprate superconductors
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Bipolarons in a Bose-Einstein Condensate
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Gapless spin liquid and valence-bond solid in the $J_1-J_2$ Heisenberg model on the square lattice: insights from singlet and triplet excitations
• A quantum dimer model for the pseudogap metal
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
• Coupling a mobile hole to an antiferromagnetic spin background: Transient dynamics of a magnetic polaron
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Non-local interactions in moiré Hubbard systems
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Directly imaging spin polarons in a kinetically frustrated Hubbard system
• Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid
• Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa_2Cu_4O_8
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Spectral properties of the square-lattice antiferromagnetic J1-J2 Heisenberg model: confinement and deconfinement of spinons
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Single-site-resolved imaging of ultracold atoms in a triangular optical lattice
• Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
• Single-particle spectral function formulated and calculated by variational Monte Carlo method with application to $d$-wave superconducting state
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Doping on the kagome lattice: A variational Monte-Carlo study of the $t-J$ model
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Dual Spectroscopy of Quantum Simulated Fermi-Hubbard Systems

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