Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders

Abstract

Magnetic interactions are widely believed to play a crucial role in the microscopic mechanism leading to high critical temperature superconductivity. It is therefore important to study the signatures of pairing in the magnetic excitation spectrum of simple models known to show unconventional superconducting tendencies. Using the Density Matrix Renormalization Group technique, we calculate the dynamical spin structure factor $S(\mathbf{k},\omega )$ of a generalized $t-U-J$ Hubbard model away from half-filling in a two-leg ladder geometry. The addition of $J$ enhances pairing tendencies. We analyze quantitatively the signatures of pairing in the magnetic excitation spectra. We found that the superconducting pair-correlation strength, that can be estimated independently from ground state properties, is closely correlated with the integrated low-energy magnetic spectral weight in the vicinity of $(\pi ,\pi )$. In this wave-vector region, robust spin incommensurate features develop with increasing doping. The branch of the spectrum with rung direction wave-vector $k_{rung}=0$ does not change substantially with doping where pairing dominates, and thus plays a minor role. We discuss the implications of our results for neutron scattering experiments, where the spin excitation dynamics of hole-doped quasi-one dimensional magnetic materials can be measured, and also address implications for recent resonant inelastic X-ray scattering experiments.

9 pages, 9 figures, submitted to Physical Review B

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Cited by in corpus (8)

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• Anomalous spin-charge separation in a driven Hubbard system
• Root-N Krylov-space correction-vectors for spectral functions with the density matrix renormalization group
• Crossover of the high-energy spin fluctuations from collective triplons to localized magnetic excitations in doped Sr14-xCaxCu24O41 cuprate ladders
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Intertwined charge, spin, and pairing orders in doped iron ladders
• Enhancement of maximum superconducting temperature by applying pressure and reducing the charge transfer gap
• Controlling magnetic correlations in a driven Hubbard system far from half-filling