Dispersion of the neutron resonance in cuprate superconductors

Abstract

We argue that recently measured downward dispersion of the neutron resonance peak in cuprate superconductors is naturally explained if the resonance is viewed as a spin-1 collective mode in a d-wave superconductor. The reduction of the resonant frequency away from the antiferromagnetic wave vector is a direct consequence of the momentum dependence of the d-wave superconducting gap. When the magnetic correlation length becomes large, the dispersion should become magnon-like, i.e., curve upwards from (pi,pi).

arXiv comment4 pages, 3 inline PostScript figures. Added references

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• The neutron resonance in the cuprates and its effect on fermionic excitations
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• Magnetic fluctuations and resonant peak in cuprates: a microscopic theory
• High-Energy Spin Dynamics in La${}_{1.69}$Sr${}_{0.31}$NiO${}_4$
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• Effective SU(2) theory for the pseudogap state
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• Magnetic excitations in La-based cuprate superconductors: slave-boson mean-field analysis of the two-dimensional t-J model
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• Novel results in STM, ARPES, HREELS, Nernst, neutron, Raman, and isotope substitution experiments and their relation to bosonic modes and charge inhomogeneity, from perspective of negative-Ueff boson-fermion modelling of HTSC
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• Neutron spin resonance as a probe of Fermi surface nesting and superconducting gap symmetry in Ba${}_{0.67}$K${}_{0.33}$(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Dynamical spin susceptibility and the resonance peak in the pseudogap region of the underdoped cuprate superconductors
• A model for the neutron resonance in HgBa${}_2$CuO${}_{4+\delta }$
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Excitons in QED3 and spin response in a phase-fluctuating d-wave superconductor
• Effect of pairing fluctuations on the spin resonance in Fe-based superconductors
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