Parton theory of magnetic polarons: Mesonic resonances and signatures in dynamics

Abstract

When a mobile hole is moving in an anti-ferromagnet it distorts the surrounding Neel order and forms a magnetic polaron. Such interplay between hole motion and anti-ferromagnetism is believed to be at the heart of high-Tc superconductivity in cuprates. We study a single hole described by the t-Jz model with Ising interactions between the spins in 2D. This situation can be experimentally realized in quantum gas microscopes. When the hole hopping is much larger than couplings between the spins, we find strong evidence that magnetic polarons can be understood as bound states of two partons, a spinon and a holon carrying spin and charge quantum numbers respectively. We introduce a microscopic parton description which is benchmarked by comparison with results from advanced numerical simulations. Using this parton theory, we predict a series of excited states that are invisible in the spectral function and correspond to rotational excitations of the spinon-holon pair. This is reminiscent of mesonic resonances observed in high-energy physics, which can be understood as rotating quark antiquark pairs. We also apply the strong coupling parton theory to study far-from equilibrium dynamics of magnetic polarons observable in current experiments with ultracold atoms. Our work supports earlier ideas that partons in a confining phase of matter represent a useful paradigm in condensed-matter physics and in the context of high-Tc superconductivity. While direct observations of spinons and holons in real space are impossible in traditional solid-state experiments, quantum gas microscopes provide a new experimental toolbox. We show that, using this platform, direct observations of partons in and out-of equilibrium are possible. Extensions of our approach to the t-J model are also discussed. Our predictions in this case are relevant to current experiments with quantum gas microscopes for ultracold atoms.

30 pages, 4 appendices, 26 figures

References in corpus (16)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Single-Spin Addressing in an Atomic Mott Insulator
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• A Quantum Gas Microscope for Fermionic Atoms
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Bragg spectroscopy of a strongly interacting Fermi gas
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• String excitations of a hole in a quantum antiferromagnet and photoelectron spectrospopy
• Scanning tunnelling microscopy for ultracold atoms
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Ultrafast separation of photo-doped carriers in Mott antiferromagnets
• Bloch oscillations of bosonic lattice polarons
• Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

Cited by in corpus (71)

• String patterns in the doped Hubbard model
• Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• $\eta$--paired superconducting hidden phase in photodoped Mott insulators
• Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
• Microscopic spinon-chargon theory of magnetic polarons in the t-J model
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• Meson formation in mixed-dimensional t-J models
• Cavity magnon-polaritons in cuprate parent compounds
• Fractons from polarons
• Correlated Quantum Tunnelling of Monopoles in Spin Ice
• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Nonequilibrium steady-state theory of photodoped Mott insulators
• Quantum Many-Body Simulations of the 2D Fermi-Hubbard Model in Ultracold Optical Lattices
• Hole in the 2D Ising Antiferromagnet: Origin of the Incoherent Spectrum
• Coupled charge and spin dynamics in a photo-excited Mott insulator
• Lattice polarons across the superfluid to Mott insulator transition
• Zooming in on heavy fermions in Kondo lattice models
• Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Dominant fifth-order correlations in doped quantum anti-ferromagnets
• Pairing of holes by confining strings in antiferromagnets
• Variational Schrieffer-Wolff Transformations for Quantum Many-Body Dynamics
• Mott-moiré excitons
• Hidden spin current in doped Mott antiferromagnets
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Rotational Resonances and Regge Trajectories in Lightly Doped Antiferromagnets
• Defect-induced orbital polarization and collapse of orbital order in doped vanadium perovskites
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Higher-Order Spin-Hole Correlations around a Localized Charge Impurity
• Dynamical signatures of thermal spin-charge deconfinement in the doped Ising model
• Optical lattice experiments at unobserved conditions and scales through generative adversarial deep learning
• Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
• Motional decoherence in ultracold Rydberg atom quantum simulators of spin models
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Equilibrium and non-equilibrium dynamics of a hole in a bilayer antiferromagnet
• Wave function and spatial structure of polarons in an antiferromagnetic bilayer
• Scattering theory of mesons in doped antiferromagnetic Mott insulators: Multichannel perspective and Feshbach resonance
• Photoemission Spectrum of Ca2RuO4: Spin Polaron Physics in an S=1 Antiferromagnet with Anisotropies
• Digital quantum simulation of lattice fermion theories with local encoding
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Spectral properties of spin-orbital polarons as a fingerprint of orbital order
• Particle zoo in a doped spin chain: Correlated states of mesons and magnons
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Instanton gas approach to the Hubbard model
• Short-range antiferromagnetic correlation effect on conduction electrons in two-dimensional strongly correlated electron systems
• Fractionalized Fermi liquids and the cuprate phase diagram
• Orbital Rotations induced by Charges of Polarons and Defects in Doped Vanadates
• Rare collapse of fermionic quasiparticles upon coupling to local bosons
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Charge dynamics in magnetically disordered Mott insulators
• The fate of the spin polaron in the 1D antiferromagnets
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field
• Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet
• Yamaji effect in models of underdoped cuprates
• The Bose-Hubbard polaron from weak to strong coupling
• Magnetic monopole induced polarons in atomic superlattices
• Spatial structure of magnetic polarons in strongly interacting antiferromagnets
• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators
• Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder