Magnetic excitation spectra of strongly correlated quasi-one dimensional systems: Heisenberg versus Hubbard-like behavior

Abstract

We study the effects of charge degrees of freedom on the spin excitation dynamics in quasi-one dimensional magnetic materials. Using the density matrix renormalization group method, we calculate the dynamical spin structure factor of the Hubbard model at half electronic filling on a chain and on a ladder geometry, and compare the results with those obtained using the Heisenberg model, where charge degrees of freedom are considered frozen. For both chains and two-leg ladders, we find that the Hubbard model spectrum qualitatively resembles the Heisenberg spectrum -- with low-energy peaks resembling spinonic excitations -- already at intermediate on-site repulsion as small as $U/t\sim 2-3$, although ratios of peak intensities at different momenta continue evolving with increasing $U/t$ converging only slowly to the Heisenberg limit. We discuss the implications of these results for neutron scattering experiments and we propose criteria to establish the values of $U/t$ of quasi-one dimensional systems described by one-orbital Hubbard models from experimental information.

arXiv comment10 pages, 9 figures

References in corpus (50)

• Mantid - Data Analysis and Visualization Package for Neutron Scattering and $\mu SR$ Experiments
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Spin waves and electronic interactions in La2CuO4
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Spin-ladders with spin gaps: A description of a class of cuprates
• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• The Unexpected Properties of Alkali Metal Iron Selenide Superconductors
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Implementation of Spin Hamiltonians in Optical Lattices
• Pressure-induced Superconductivity in the Iron-based Ladder Material BaFe2S3
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Inelastic Neutron Scattering from the Spin Ladder Compound (VO)2P2O7
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
• Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
• The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study
• Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
• Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
• Bound states of magnons in the S=1/2 quantum spin ladder
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Pair Correlations in Doped Hubbard Ladders
• Spectral and thermodynamic properties of a strong-leg quantum spin ladder
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Competing Orders in Coupled Luttinger Liquids
• Linked Cluster Series Expansions for Two-Particle Bound States
• Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
• Comparison of different ladder models
• Longitudinal Magnetic Dynamics and Dimensional Crossover in the Quasi-One-Dimensional, Spin-1/2, Heisenberg Antiferromagnet KCuF3
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFe${}_2$S${}_3$: combined ab initio and density matrix renormalization group study
• Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
• Resonant magnetic mode in superconducting 2-leg ladders
• Dynamics of spin ladders
• Finite wave vector pairing in doped two-leg ladders
• Itineracy Effects on Spin Correlations in 1D Mott Insulators
• Ground-state and spectral properties of an asymmetric Hubbard ladder
• Dynamical structure factors of $S=1/2$ two-leg spin ladder systems
• Perturbation Theory for Spin Ladders Using Angular-Momentum Coupled Bases
• Dynamical Spin Response Functions for Heisenberg Ladders

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