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.

12 pages, 7 figures

References in corpus (19)

• Theory of Intertwined Orders in High Temperature Superconductors
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Absence of superconductivity in the pure two-dimensional Hubbard model
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Mott Transition in the Two-Dimensional Hubbard Model
• Effect of strong correlations on the high energy anomaly in hole- and electron-doped high-Tc superconductors
• Extremely Correlated Fermi Liquids
• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Engineering One-Dimensional Quantum Stripes from Superlattices of Two-Dimensional Layered Materials
• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
• 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
• 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
• 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
• Charge and spin excitation spectra in the one-dimensional Hubbard model with next-nearest-neighbor hopping

Cited by in corpus (7)

• Particle-hole asymmetry in the dynamical spin and charge structure factors of the corner-shared one-dimensional cuprates
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-$\frac{1}{2}$ antiferromagnetic Heisenberg trimer chain
• Evolution of the magnetic excitations in electron-doped ${\mathrm{La}}_{2-x}{\mathrm{Ce}}_x{\mathrm{CuO}}_4$
• Theoretical analysis of multi-magnon excitations in resonant inelastic x-ray scattering spectra of two-dimensional antiferromagnets
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains