Where is the spectral weight in magnetic neutron scattering in the cuprates?

Abstract

We present estimates in the Hubbard and Heisenberg models for the spectral weight in magnetic neutron scattering experiments on the cuprates. With the aid of spin-wave theory and the time dependent Gutzwiller approximation we discuss how the spectral weight is distributed among the different channels and between high and low energies. In addition to the well known total moment sum rule we discuss sum rules for each component of the dynamical structure factor tensor which are peculiar for spin 1/2 systems. The various factors that reduce the spectral weight at the relevant energies are singled out and analyzed like: shielding factors, weight at electronic energies, multimagnon process etc. Although about 10% ~ 15% of the naively expected weight is detected in experiments after consideration of these factors the missing weight is within the experimental uncertainties. A large fraction of the spectral weight is hard to detect with present experimental conditions.

16 pages, 13 figures, submitted to PRB

References in corpus (9)

• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Direct relation between the low-energy spin excitations and superconductivity of overdoped high-$T_c$ superconductors
• Magnetic fluctuations from stripes in cuprates
• Two-magnon excitations observed by neutron scattering in the two-dimensional spin-5/2 Heisenberg antiferromagnet Rb2MnF4
• Dynamics of metallic stripes in cuprates
• Stability of metallic stripes in the extended one-band Hubbard model
• Time-dependent Gutzwiller theory of magnetic excitations in the Hubbard model
• Inhomogeneous Gutzwiller approximation with random phase fluctuations for the Hubbard model

Cited by in corpus (58)

• Spin Waves and Magnetic Exchange Interactions in CaFe2As2
• Anomalous High-Energy Spin Excitations in La2CuO4
• Nature of magnetic excitations in superconducting BaFe${}_{1.9}$Ni${}_{0.1}$As${}_2$
• Covalent bonding and magnetism in cuprates
• Magnetic-field-enhanced incommensurate magnetic order in the underdoped high-temperature superconductor YBa(2)Cu(3)O(6.45)
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Spin Waves and magnetic exchange interactions in insulating Rb${}_{0.89}$Fe${}_{1.58}$Se${}_2$
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Superconductivity, Antiferromagnetism, and Neutron Scattering
• Doping dependence of spin excitations in the stripe phase of high-Tc superconductors
• Intermediate Coupling Model of the Cuprates
• Unified quantitative model for magnetic and electronic spectra of the undoped cuprates
• High Energy Spin Excitations in Electron-Doped Superconducting Pr${}_{0.88}$LaCe${}_{0.12}$CuO${}_{4-\delta }$ with $T_c=21$ K
• Avoided quasiparticle decay and enhanced excitation continuum in the spin-1/2 near-Heisenberg triangular antiferromagnet Ba3CoSb2O9
• The magnetic states of lightly hole-doped cuprates in the clean limit
• Spin dynamics near the critical doping in weakly-superconducting underdoped YBa2Cu3O6.35 (Tc=18K)
• Resonance as a probe of the electron superconducting gap in BaFe1.9Ni0.1As2
• Anisotropic magnon damping by zero-temperature quantum fluctuations in ferromagnetic CrGeTe${}_3$
• Multiple-magnon excitations shape the spin spectrum of cuprate parent compounds
• High-Energy Continuum of Magnetic Excitations in the Two-Dimensional Quantum Antiferromagnet Sr2CuO2Cl2
• Temperature dependence of the paramagnetic spin excitations in BaFe${}_2$As${}_2$
• Particle-hole asymmetry in the dynamical spin and charge structure factors of the corner-shared one-dimensional cuprates
• Checkerboard and stripe inhomogeneities in cuprates
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Linear-Response Dynamics from the Time-Dependent Gutzwiller Approximation
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Numerical minimisation of Gutzwiller energy functionals
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Ordered magnetism in the intrinsically decorated $j{}_{\mathrm{eff}}$ = $\frac{1}{2}$ $\alpha$-CoV${}_3$O${}_8$
• Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
• Spin-wave thermodynamics of square-lattice antiferromagnets revisited
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Magnetic mechanism of quasiparticle pairing in hole-doped cuprate superconductors
• Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model
• Magnetic Excitations of Undoped Iron Oxypnictides
• Signatures of indirect K-edge resonant inelastic x-ray scattering on magnetic excitations in triangular lattice antiferromagnet
• Non-equilibrium dynamics across the BEC-BCS crossover
• Spectrum splitting of bimagnon excitations in a spatially frustrated Heisenberg antiferromagnet revealed by resonant inelastic x-ray scattering
• Neutron Scattering and Its Application to Strongly Correlated Systems
• Incommensurability and spin excitations of diagonal stripes in cuprates
• Quantum and classical spin dynamics across temperature scales in the S = 1/2 Heisenberg antiferromagnet
• High-energy spin waves in the spin-1 square-lattice antiferromagnet La${}_2$NiO${}_4$
• The time-dependent Gutzwiller theory for multi-band Hubbard models
• Low temperature magnetism of KAgF3
• Spin Waves and Spatially Anisotropic Exchange Interactions in the $\mathrm{S}=2$ Stripe Antiferromagnet Rb${}_{0.8}$Fe${}_{1.5}$S${}_2$
• Hidden Ferronematic Order in Underdoped Cuprates
• Hubbard-model description of the high-energy spin-spectral-weight distribution in La(2)CuO(4)
• From continuum excitations to sharp magnons via transverse magnetic field in the spin-1/2 Ising-like triangular lattice antiferromagnet Na2BaCo(PO4)2
• Long-lived Higgs modes in strongly correlated condensates
• Exact response functions within the time-dependent Gutzwiller approach
• Spin excitation spectrum of high-temperature cuprate superconductors from finite cluster simulations
• Paramagnetic spin excitations in insulating Rb${}_{0.8}$Fe${}_{1.6}$Se${}_2$
• Spin correlations in the parent phase of Li${}_{1-x}$Fe${}_x$ODFeSe
• Spin-stripes in the Hubbard model: a combined DMFT and Bethe-Salpeter analysis
• Spin-spectral-weight distribution and energy range of the parent compound La${}_2$CuO${}_4$
• Strong local moment antiferromagnetic spin fluctuations in V-doped LiFeAs
• Stripe Antiferromagnetic Ground-State Configuration of FeSe Revealed by Density Functional Theory
• Unified description of charge and spin excitations of stripes in cuprates