Dynamic spin-response function of the high-temperature Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ superconductor form angle resolved photoemission spectra

Abstract

We introduce a formalism for calculating dynamic response functions using experimental single particle Green's functions derived from angle resolved photoemission spectroscopy (ARPES). As an illustration of this procedure we estimate the dynamic spin response of the cuprate superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$. We find good agreement with superconducting state neutron data, in particular the $(\pi ,\pi )$ resonance with its unusual `reversed magnon' dispersion. We anticipate our formalism will also be of useful in interpreting results from other spectroscopies, such as optical and Raman responses.

4 pages, 3 figures Published version with significant changes

References in corpus (20)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• Renormalization of spectral lineshape and dispersion below Tc in Bi2Sr2CaCu2O8+d
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• Predominantly Superconducting Origin of Large Energy Gaps in Underdoped Bi2Sr2CaCu2O8-d from Tunneling Spectroscopy
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• Slave Boson Approach to The Neutron Scattering in YBCO Superconductors
• Novel neutron resonance mode in $d_{x^2-y^2}$ superconductors
• 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
• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
• Non-dispersive Fermi arcs and absence of charge ordering in the pseudogap phase of Bi2Sr2CaCu2O8+d
• Magnetic Collective Mode Dispersion in High Temperature Superconductors
• Frequency Evolution of Neutron Peaks Below Tc: Commensurate and Incommensurate Structure in LaSrCuO and YBaCuO
• Unified Description of the Resonance Peak and Incommensuration in High-$T_c$ Superconductors
• Extraction of the Electron Self-Energy from Angle Resolved Photoemission Data: Application to Bi2212
• Identifying the Background Signal in ARPES of High Temperature Superconductors

Cited by in corpus (11)

• Effect of the pseudogap on T${}_c$ in the cuprates and implications for its origin
• Coexistence of metallicity and superconductivity in adjacent bilayers of a high-Tc superconductor
• Dispersion of the odd magnetic resonant mode in near-optimally doped Bi2Sr2CaCu2O8+d
• An ARPES view on the high-Tc problem: phonons vs spin-fluctuations
• Electronic band structure of optimal superconductors: from cuprates to ferropnictides and back again
• Kinks and waterfalls as signatures of competing order in angle-resolved photoemission spectra of La_{2-x}Sr_xCuO_4
• Large momentum-dependence of the main dispersion "kink" in the high-Tc superconductor Bi2Sr2CaCu2O8+δ
• Vertex Corrections and the Korringa Ratio in Strongly Correlated Electron Materials
• The Fincher-Burke spin excitations and omega/T scaling in the insulating 5% Sr-doped La2CuO4
• Coupled electronic and magnetic excitations in the cuprates and their role in the superconducting transition
• Theory of Magnetic Fluctuations in Iron Pnictides