Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets

Abstract

We study the impact of next-nearest-neighbor (nnn) hopping on the low-energy collective excitations of strongly correlated doped antiferromagnetic cuprate spin chains. Specifically, we use exact diagonalization and the density matrix renormalization group method to study the single-particle spectral function, the dynamical spin and charge structure factors, and the Cu $L$-edge resonant inelastic x-ray scattering (RIXS) intensity of the doped $t$-$t^{\prime }$-$J$ model for a set of $t^{\prime }$ values. We find evidence for the breakdown of spin-charge separation as $|t^{\prime }|$ increases and identify its fingerprints in the dynamical response functions. The inclusion of nnn hopping couples the spinon and holon excitations, resulting in the formation of a spin-polaron, where a ferromagnetic spin polarization cloud dresses the doped carrier. The spin-polaron manifests itself as additional spectral weight in the dynamical correlation functions, which appear simultaneously in the spin- and charge-sensitive channels. We also demonstrate that RIXS can provide a unique view of the spin-polaron, due to its sensitivity to both the spin and charge degrees of freedom.

arXiv comment12 pages, 7 figures

References in corpus (73)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Complexity in Strongly Correlated Electronic Systems
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• A Common Thread: the pairing interaction for the unconventional superconductors
• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Theory of Intertwined Orders in High Temperature Superconductors
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
• Resonant X-rays at the Cu L-edge as a momentum dependent probe of the magnetic excitation spectrum in cuprates
• Energy and symmetry of $dd$ excitations in undoped layered cuprates measured by Cu $L_3$ resonant inelastic x-ray scattering
• Hole and Pair Structures in the t-J model
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Spectral function of the one-dimensional Hubbard model away from half filling
• Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
• Anomalous low doping phase of the Hubbard model
• Covalent bonding and magnetism in cuprates
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Measurement of magnetic excitations in the two-dimensional antiferromagnetic Sr2CuO2Cl2 insulator using resonant x-ray scattering:Evidence for extended interactions
• Spinons in the strongly correlated copper oxide chains in SrCuO2
• The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation
• Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function
• High-spin polaron in lightly doped CuO${}_2$ planes
• Mott Transition in the Two-Dimensional Hubbard Model
• Direct observation of multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
• Effect of strong correlations on the high energy anomaly in hole- and electron-doped high-Tc superconductors
• Using RIXS to uncover elementary charge and spin excitations in correlated materials
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Extremely Correlated Fermi Liquids
• Ground State Properties of the Doped 3-Leg t-J Ladder
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Dynamical Properties of a Single Hole in an Antiferromagnet
• Microscopic origin of spin-orbital separation in Sr2CuO3
• Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Spin pseudogap in Ni-doped SrCuO2
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Fingerprints of an Exotic Orbital-Selective Mott Phase in the Block Magnetic State of BaFe${}_2$Se${}_3$ Ladders
• The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
• Doping evolution of spin and charge excitations in the Hubbard model
• DMRG study of ferromagnetism in a one-dimensional Hubbard model
• Femtosecond dynamics of magnetic excitations from resonant inelastic x-ray scattering in CaCu2O3
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
• Engineering One-Dimensional Quantum Stripes from Superlattices of Two-Dimensional Layered Materials
• Doping dependence of magnetic excitations of 1D cuprates as probed by Resonant Inelastic x-ray Scattering
• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
• Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• Doping evolution of charge and spin excitations in two-leg Hubbard ladders: comparing DMRG and RPA+FLEX results
• Current spinon-holon description of the one-dimensional charge-transfer insulator SrCuO2: Angle-resolved photoemission measurements
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Magnetic excitations in L-edge resonant inelastic x-ray scattering from one-dimensional cuprates
• Crystal growth of the non-magnetic Zn${}^{2+}$ and magnetic Co${}^{2+}$ doped quasi one-dimensional spin chain compound SrCuO${}_2$ using the travelling solvent floating zone method
• Effects of quantum impurity spins on the magnetic properties of zigzag and linear spin chains
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• The 1D t-J model with next-nearest neighbor hopping - breakdown of the Luttinger liquid?
• Charge and spin excitation spectra in the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Bound state of a hole and a triplet spin in the $t_1$-$t_2$-$J_1$-$J_2$ model

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