The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
arXiv:2110.15856 · doi:10.1103/PhysRevB.105.195104
Abstract
We present a numerical study of competing orders in the 1D - model with long-range RKKY-like staggered spin interactions. By circumventing the constraints imposed by Mermin-Wagner's theorem, this Hamiltonian can realize long-range Néel order at half-filling. We determine the full phase diagram as a function of the exchange and particle density using the density matrix renormalization group (DMRG) method. We show that pairing is disfavored and the AFM insulator and metallic phases are separated by a broad regime with phase segregation, before spin-charge separation re-emerges at low densities. Upon doping, interactions induce a confining potential that binds holons and spinons into full fledged fermionic quasi-particles in a range of parameters and densities. We numerically calculate the photoemission spectrum of the model, showing the appearance of a coherent quasi-particle band splitting away from the holon-spinon continuum with a width determined by that survives at finite doping. Comparison with analytical results using the self-consistent Born approximation (SCBA) and by solving the spinon-holon problem offer insight into the internal structure of the quasi-particles and help us explain the different features in the spectrum. We discuss how this simple toy-model can teach us about the phenomenology of its higher dimensional counterpart.
arXiv commentNew version with extended results and theoretical analysis. 15 Figures
References in corpus (116)
- Correlated Electrons in High Temperature Superconductors
- Quantum Simulation
- Real time evolution using the density matrix renormalization group
- Bosonization and Strongly Correlated Systems
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- A Mott insulator of fermionic atoms in an optical lattice
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Time-evolution methods for matrix-product states
- Stripe order in the underdoped region of the two-dimensional Hubbard model
- Fermi-Hubbard physics with atoms in an optical lattice
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Competing states in the t-J model: uniform d-wave state versus stripe state
- Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- The Hubbard model: A computational perspective
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Absence of superconductivity in the pure two-dimensional Hubbard model
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Spontaneous Magnon Decays
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- The one-dimensional Hubbard model: A reminiscence
- Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
- Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
- Imaging magnetic polarons in the doped Fermi-Hubbard model
- Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
- Time-step targetting methods for real-time dynamics using DMRG
- String patterns in the doped Hubbard model
- Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
- Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
- Spin Transport in a Mott Insulator of Ultracold Fermions
- Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
- Spectral function of the one-dimensional Hubbard model away from half filling
- Two-particle states in the Hubbard model
- Anomalous low doping phase of the Hubbard model
- One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
- Pseudogaps and their Interplay with Magnetic Excitations in the doped 2D Hubbard Model
- Single hole dynamics in the t-J model on a square lattice
- Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
- Optical conductivity of the half-filled Hubbard chain
- Ground states of a frustrated quantum spin chain with long-range interactions
- Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function
- Parton theory of magnetic polarons: Mesonic resonances and signatures in dynamics
- Direct observation of incommensurate magnetism in Hubbard chains
- On the Hohenberg-Mermin-Wagner theorem and its limitations
- Single hole spectral function and spin-charge separation in the t-J model
- Compressibility of a fermionic Mott insulator of ultracold atoms
- Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains
- Effect of strong correlations on the high energy anomaly in hole- and electron-doped high-Tc superconductors
- Scattering resonances and two-particle bound states of the extended Hubbard model
- Holes in the t-J_z model: a thorough study
- Doped Stripes in Models for the Cuprates Emerging from the One-hole Properties of the Insulator
- Metallic stripe in two dimensions: stability and spin-charge separation
- Microscopic spinon-chargon theory of magnetic polarons in the t-J model
- Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
- Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
- Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
- Ground-State Phase Diagram of the 1D t-J model
- Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
- Numerical approach to low-doping regime of the t-J model
- Threshold Singularities in the One Dimensional Hubbard Model
- Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
- The fate of 1D spin-charge separation away from Fermi points
- Evidence for Spin-Charge Separation in the Two-Dimensional T-J Model
- Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions
- Quantum Phase Diagram of the t-Jz Chain Model
- Spin-Charge Separation is the Key to the High T_c Cuprates
- Indications of Spin-Charge Separation in the 2D Extended t-J Model
- Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
- Meson formation in mixed-dimensional t-J models
- Spin Waves in Antiferromagnetic Spin Chains with Long Range Interactions
- SPIN AND CHARGE MODES OF THE t-J LADDER
- Origin of Strong Dispersion in Hubbard Insulators
- Finite temperature spectral function of Mott insulators and CDW States
- Spin-Charge Separation in Angle-Resolved Photoemission Spectra
- Finite temperature dynamics of the Mott insulating Hubbard chain
- Is there spin-charge separation in the 2D Hubbard and t-J models at low electronic densities?
- One-Electron Singular Branch Lines of the Hubbard Chain
- Stripe as an effective one-dimensional band of composite excitations
- Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
- Spin-charge coupling in quantum wires at zero magnetic field
- Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
- One hole in the two-leg t-J ladder and adiabatic continuity to the non-interacting limit
- Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
- Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
- Indications of Spin-Charge Separation at Short Distance and Stripe Formation in the Extended t-J Model on Ladders and Planes
- Quantum Monte Carlo studies of spinons in one-dimensional spin systems
- Hole in the 2D Ising Antiferromagnet: Origin of the Incoherent Spectrum
- Dynamical Functions of a 1D Correlated Quantum Liquid
- Multiplons in the two-hole excitation spectra of the one-dimensional Hubbard model
- Real-time dynamics in the one-dimensional Hubbard model
- Quasiparticle vanishing driven by geometrical frustration
- Z2 parton phases in the mixed-dimensional model
- Deconfined quantum criticality in spin-1/2 chains with long-range interactions
- Generalized one-band model based on Zhang-Rice singlets for Tetragonal CuO
- Filling-dependent doublon dynamics in the one-dimensional Hubbard model
- Quasiparticle photoemission intensity in doped two-dimensional quantum antiferromagnets
- Photoemission Spectra in t-J Ladders with Two Legs
- Single hole dynamics in the t-J model on two- and three-leg ladders
- Spin-charge separated quasiparticles in one dimensional quantum fluids
- Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
- Matrix product state recursion methods for strongly correlated quantum systems
- Binding of holons and spinons in the one-dimensional anisotropic t-J model
- The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
- Spinon-holon interactions in an anisotropic t-J chain: a comprehensive study
- From "Weak" to "Strong" Hole Confinement in a Mott Insulator
- Optical conductivity of the Hubbard chain away from half filling
- Spin polaron in the J1-J2 Heisenberg model
- Mobile impurity approach to the optical conductivity in the Hubbard chain
- One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
- The metal-insulator transition in one dimension
- Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
- Magnon-assisted dynamics of a hole doped in a cuprate superconductor
- The 1D t-J model with next-nearest neighbor hopping - breakdown of the Luttinger liquid?
- Effects of semiclassical spiral fluctuations on hole dynamics
- Spin polarons and high-Tc superconductivity