Magnetic collective mode in underdoped cuprates: a phenomenological analysis

Abstract

The dynamical spin susceptibility as relevant for underdoped cuprates is analysed within the memory-function (MeF) approach. A phenomenological damping function combined with a $T$-independent sum rule is used to describe the anomalous normal state and the resonant peak in the superconducting state, in particular its position and its relative intensity to the normal state. The relation with the random-phase approximation is discussed. The MeF method is generalized to the bilayer system in order to compare with inelastic neutron scattering experiments on YBa${}_2$Cu${}_3$O${}_{6+x}$ which alows also for a quantitative comparison. In this context the problem of missing integrated spectral intensity within the experimentally accessible energy window is also discussed.

arXiv comment6 pages (RevTex), 4 Postscript figures(*.eps), 2 Tables included in the text. Original paper (v1) expanded into an article with (sub)sections; first part of content unchanged. Added Fig.4, Table II, section on comparison with experiments and two references. Corrected typo in Table I (2nd row, last entry)

References in corpus (18)

• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Spin Susceptibility in Underdoped $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• From incommensurate to dispersive spin-fluctuations: The high-energy inelastic spectrum in superconducting YBa2Cu3O6.5
• Slave Boson Approach to The Neutron Scattering in YBCO Superconductors
• Dynamic Stripes and Resonance in the Superconducting and Normal Phases of YBa2Cu3O6.5 Ortho-II Superconductor
• Theory of Neutron Scattering in the Normal and Superconducting State of YBCO
• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
• High-Frequency Spin Waves in YBa2Cu3O6.15
• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• The Relation of Neutron Incommensurability to Electronic Structure in High Temperature Superconductors
• High energy spin excitations in YBa_2 Cu_3 O_{6.5}
• Superexchange coupling and spin susceptibility spectral weight in undoped monolayer cuprates
• Dispersion of Magnetic Excitations in Superconducting Optimally Doped YBa_2Cu_3O_6.95
• Magnetic fluctuations and resonant peak in cuprates: a microscopic theory
• On the Bilayer Coupling in the Yttrium-Barium Family of High Temperature Superconductors
• Doping Dependence of Bilayer Resonant Spin Excitations in $(\mathbf{Y},\mathbf{Ca})\mathbf{B}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• Scaling of the magnetic response in doped antiferromagnets
• Double dispersion of the magnetic resonant mode in cuprates

Cited by in corpus (15)

• Intense paramagnon excitations in a large family of high-temperature superconductors
• Heat conduction in low-dimensional quantum magnets
• Bosons in high temperature superconductors: an experimental survey
• Optical spectroscopy of superconducting Ba{0.55}K{0.45}Fe2As2: evidence for strong coupling to low energy bosons
• Dynamic spin susceptibility in the t-J model
• Spin Dynamics in Cuprates: Optical Conductivity of HgBa2CuO4
• The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
• Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode
• Spin fluctuations and high-temperature superconductivity in cuprates
• Dual Features of Magnetic Susceptibility in Superconducting Cuprates: a comparison to inelastic neutron scattering
• Moment Expansion to the Memory Function for Generalized Drude Scattering rate
• Theory of two-particle excitations and the magnetic susceptibility in high-Tc cuprate superconductors
• Memory Function Approach to Correlated Electron Transport: A Comprehensive Review
• Excitons in QED3 and spin response in a phase-fluctuating d-wave superconductor
• Electronic spectrum and superconductivity in the extended t-J-V model