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.

9 pages, 13 figures

References in corpus (3)

• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit

Cited by in corpus (30)

• Magnetism in Fe-based superconductors
• 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
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• 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
• 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
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• High Temperature Superconductivity in the Cuprates
• Interplay of finite-energy and finite-momentum superconducting pairing
• Odd-frequency pair density wave correlations in underdoped cuprates
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Local quasiparticle lifetimes in a d-wave superconductor
• Denoising and feature extraction in photoemission spectra with variational auto-encoder neural networks
• 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
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• Relaxation timescales and electron-phonon coupling in optically-pumped YBa${}_2$Cu${}_3$O${}_{6+x}$ revealed by time-resolved Raman scattering
• 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
• 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