Magnon interactions in a moderately correlated Mott insulator

Abstract

Quantum fluctuations in low-dimensional systems and near quantum phase transitions have significant influences on material properties. Yet, it is difficult to experimentally gauge the strength and importance of quantum fluctuations. Here we provide a resonant inelastic x-ray scattering study of magnon excitations in Mott insulating cuprates. From the thin film of SrCuO${}_2$, single- and bi-magnon dispersions are derived. Using an effective Heisenberg Hamiltonian generated from the Hubbard model, we show that the single-magnon dispersion is only described satisfactorily when including significant quantum corrections stemming from magnon-magnon interactions. Comparative results on La${}_2$CuO${}_4$ indicate that quantum fluctuations are much stronger in SrCuO${}_2$ suggesting closer proximity to a magnetic quantum critical point. Monte Carlo calculations reveal that other magnetic orders may compete with the antiferromagnetic Néel order as the ground state. Our results indicate that SrCuO${}_2$ - due to strong quantum fluctuations - is a unique starting point for the exploration of novel magnetic ground states.

References in corpus (38)

• Quantum Spin Liquid States
• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Spin waves and electronic interactions in La2CuO4
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Fractional excitations in the square-lattice quantum antiferromagnet
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Anomalous High-Energy Spin Excitations in La2CuO4
• Two-Orbital Model Explains the Higher Transition Temperature of the Single-Layer Hg-Cuprate Superconductor Compared to That of the La-Cuprate Superconductor
• Strength of Correlations in electron and hole doped cuprates
• Energy and symmetry of $dd$ excitations in undoped layered cuprates measured by Cu $L_3$ resonant inelastic x-ray scattering
• Influence of apical oxygen on the extent of in-plane exchange interaction in cuprate superconductors
• Quantum dynamics and entanglement of spins on a square lattice
• The magnetic excitation spectra in BaFe${}_2$As${}_2$: a two-particle approach within DFT+DMFT
• Direct theoretical evidence for weaker correlations in electron-doped and Hg-based hole-doped cuprates
• Bimagnon studies in cuprates with Resonant Inelastic X-ray Scattering at the O K edge. I - An assessment on La2CuO4 and a comparison with the excitation at Cu L3 and Cu K edges
• Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
• Strain-Engineering Mott-Insulating La${}_2$CuO${}_4$
• Unified quantitative model for magnetic and electronic spectra of the undoped cuprates
• Direct Observation of Orbital Hybridisation in a Cuprate Superconductor
• Nodeless superconductivity arising from strong (pi,pi) antiferromagnetism in the infinite-layer electron-doped cuprate Sr1-xLaxCuO2
• Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4
• Comprehensive mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model
• RIXS studies of magnons and bimagnons in the lightly doped cuprate La2-xSrxCuO4
• High-Temperature Charge-Stripe Correlations in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Theoretical analysis of magnetic Raman scattering in La2CuO4: two-magnon intensity with the inclusion of ring exchange
• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Doping evolution and polar surface reconstruction of the infinite-layer cuprate Sr${}_{1-x}$La${}_x$CuO${}_2$
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Damped spin excitations in a doped cuprate superconductor with orbital hybridization
• Quantum spin fluctuations and evolution of electronic structure in cuprates
• Multi-orbital nature of the spin fluctuations in Sr${}_2$RuO${}_4$
• Fate of charge order in overdoped La-based cuprates
• Single domain stripe order in a high-temperature superconductor
• Collective nature of orbital excitations in layered cuprates in the absence of apical oxygens
• Quenched Magnon excitations by oxygen sublattice reconstruction in (SrCuO${}_2$)${}_n$/(SrTiO${}_3$)${}_2$ superlattices

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• Strain-Tuned Magnetic Frustration in a Square Lattice $J_1$-$J_2$ Material
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Magnon Spectra of Cuprates beyond Spin Wave Theory
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model