Linear Response Theory and the Universal Nature of the Magnetic Excitation Spectrum of the Cuprates

Abstract

Linear response theory, commonly known as the random phase approximation (RPA), predicts a rich magnetic excitation spectrum for d-wave superconductors. Many of the features predicted by such calculations appear to be reflected in inelastic neutron scattering data of the cuprates. In this article, I will present results from RPA calculations whose input is based on angle resolved photoemission data, and discuss possible relevance to inelastic neutron scattering data of LSCO, YBCO, and Bi2212 in their superconducting and non-superconducting phases. In particular, the question of the universality of the magnetic excitation spectrum will be addressed.

arXiv comment9 pages, 13 figures

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Cited by in corpus (48)

• Magnetism in Fe-based superconductors
• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• The Persistence of High-Frequency Spin Fluctuations in Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$=0.22)
• The emergence of coherent magnetic excitations in the pseudogap phase of La2-xSrxCuO4
• Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
• Dispersion of the odd magnetic resonant mode in near-optimally doped Bi2Sr2CaCu2O8+d
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Charge orders, magnetism and pairings in the cuprate superconductors
• High-energy magnetic excitations from dynamic stripes in LBCO (x=1/8)
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Effective SU(2) theory for the pseudogap state
• Normal-State Hourglass Dispersion of the Spin Excitations in FeSe${}_x$Te${}_{1-x}$
• Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
• A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates
• Quantum Spin Excitations through the metal-to-insulator crossover in $YB{a}_{2}C{u}_3{O}_{6+y}$
• Quasiparticle bands in cuprates by quantum chemical methods: towards an ab initio description of strong electron correlations
• Symmetry of the charge density wave in cuprates
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Inelastic Neutron Scattering Studies of the Spin and Lattice Dynamics in Iron Arsenide Compounds
• High Temperature Superconductivity in the Cuprates
• Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates
• Interplay of finite-energy and finite-momentum superconducting pairing
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Odd-frequency pair density wave correlations in underdoped cuprates
• Local quasiparticle lifetimes in a d-wave superconductor
• Superconducting pairing and the pseudogap in nematic striped La2-xSrxCuO4
• Origin of Kinks in Energy Dispersion of Strongly Correlated Matter
• Denoising and feature extraction in photoemission spectra with variational auto-encoder neural networks
• Collective mode in the SU(2) theory of cuprates
• ARPES, Neutrons, and the High-$T_c$ Mechanism
• A 3D Tight-Binding Model for La-Based Cuprate Superconductors
• Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Relaxation timescales and electron-phonon coupling in optically-pumped YBa${}_2$Cu${}_3$O${}_{6+x}$ revealed by time-resolved Raman scattering
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• London penetration depth in the tight binding approximation: Orthorhombic distortion and oxygen isotope effects in cuprates
• A model for the neutron resonance in HgBa${}_2$CuO${}_{4+\delta }$
• Coupled electronic and magnetic excitations in the cuprates and their role in the superconducting transition
• Spin excitations coupled with lattice and charge dynamics in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study
• Quasiparticle mirages in the tunneling spectra of d-wave superconductors
• Two component spin-fermion model for high-$T_c$ cuprates: Applications to neutron scattering and ARPES experiments
• Boosting superconductivity in ultrathin YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films via nanofaceted substrates
• Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates
• Coupled Hubbard ladders at weak coupling: Pairing and spin excitations
• Variational Monte Carlo study of spin dynamics in underdoped cuprates