Magnetic Collective Mode Dispersion in High Temperature Superconductors

Abstract

Recent neutron scattering experiments in the superconducting state of YBCO have been interpreted in terms of a magnetic collective mode whose dispersion relative to the commensurate wavevector has a curvature opposite in sign to a conventional magnon dispersion. The purpose of this article is to demonstrate that simple linear response calculations are in support of a collective mode interpretation, and to explain why the dispersion has the curvature it does.

3 pages, revtex, 4 encapsulated postscript figures

References in corpus (3)

• The Spin Excitation Spectrum in Superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• A relation between the resonance neutron peak and ARPES data in cuprates

Cited by in corpus (53)

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• Dynamic Stripes and Resonance in the Superconducting and Normal Phases of YBa2Cu3O6.5 Ortho-II Superconductor
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• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Single-quasiparticle stability and quasiparticle-pair decay in YBa2Cu3O6.5 (Ortho II)
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• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Dispersion of Magnetic Excitations in Superconducting Optimally Doped YBa_2Cu_3O_6.95
• Linear Response Theory and the Universal Nature of the Magnetic Excitation Spectrum of the Cuprates
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
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• Dispersion of the odd magnetic resonant mode in near-optimally doped Bi2Sr2CaCu2O8+d
• High-Energy Spin Dynamics in La${}_{1.69}$Sr${}_{0.31}$NiO${}_4$
• Dispersion of the neutron resonance in cuprate superconductors
• The effect of the pseudogap on suppressing high energy inelastic neutron scattering in superconducting YBa2Cu3O6.5
• Spin dynamics near the critical doping in weakly-superconducting underdoped YBa2Cu3O6.35 (Tc=18K)
• Spin dynamics in the stripe phase of the cuprates
• A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4
• The resonance peak in the electron-doped cuprate superconductors
• Relation between the one-particle spectral function and dynamic spin susceptibility in superconducting Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8-\delta }$
• Theory of magnetic excitons in the heavy-fermion superconductor $UP{d}_{2}A{l}_3$
• Doping dependence of the resonance peak and incommensuration in high-$T_c$ superconductors
• Fermi-liquid based theory for the in-plane magnetic anisotropy in untwinned high-T${}_c$ superconductors
• The spin anisotropy of the magnetic excitations in the normal and superconducting states of optimally doped YBa2Cu3O6.9 studied by polarized neutron spectroscopy
• Influence of higher d-wave gap harmonics on the dynamical magnetic susceptibility of high-temperature superconductors
• Evidence for decay of spin-waves above the pseudogap in underdoped YBa2Cu3O6.35
• Theory for Inelastic Neutron Scattering in Orthorhombic High-Tc Superconductors
• Dual Features of Magnetic Susceptibility in Superconducting Cuprates: a comparison to inelastic neutron scattering
• Magnetic fluctuations in n-type high-$T_c$ superconductors reveal breakdown of fermiology
• Possible isotope effect on the resonance peak formation in high-T${}_c$ cuprates
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• Dynamic spin-response function of the high-temperature Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ superconductor form angle resolved photoemission spectra
• Magnetic Excitations of Stripes and Checkerboards in the Cuprates
• Spin susceptibility in bilayered cuprates: resonant magnetic excitations
• Dynamical spin susceptibility and the resonance peak in the pseudogap region of the underdoped cuprate superconductors
• Two nonmagnetic impurities in the DSC and DDW state of the cuprate superconductors as a probe for the pseudogap
• Self-energy effects in electronic Raman spectra of doped cuprates due to magnetic fluctuations
• Theory of two-particle excitations and the magnetic susceptibility in high-Tc cuprate superconductors
• Coexistence of Two Components in Magnetic Excitations of La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$ = 0.10 and 0.16)
• Spin susceptibility of underdoped cuprates: the case of Ortho-II YBa_2Cu_3O_{6.5}
• ARPES, Neutrons, and the High-$T_c$ Mechanism
• Influence of vortices on the magnetic resonance in cuprate superconductors
• Competition between spin-induced charge instabilities in underdoped cuprates
• Excitons in QED3 and spin response in a phase-fluctuating d-wave superconductor
• Influence of the pseudogap on the superconductivity-induced phonon renormalization in high-T${}_c$ superconductors
• Separation of magnetic and superconducting behaviour in YBCO6.33 (Tc=8.4 K)
• The temperature dependence of the local tunnelling conductance in cuprate superconductors with competing AF order
• Effect of pairing fluctuations on the spin resonance in Fe-based superconductors
• Theory of the hourglass dispersion of magnetic excitations in high-T${}_c$ cuprates
• Reply to 'Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-$T_c$ Superconductors'