Dispersion Anomalies in Cuprate Superconductors

Abstract

We argue that the shape of the dispersion along the nodal and antinodal directions in the cuprates can be understood as a consequence of the interaction of the electrons with collective spin excitations. In the normal state, the dispersion displays a crossover at an energy where the decay into spin fluctuations becomes relevant. In the superconducting state, the antinodal dispersion is strongly affected by the spin resonance and displays an S-shape whose magnitude scales with the resonance intensity. For nodal fermions, relevant spin excitations do not have resonance behavior, rather they are better characterized as a gapped continuum. As a consequence, the S-shape becomes a kink, and superconductivity does not affect the dispersion as strongly. Finally, we note that optical phonons typically lead to a temperature independent S-shape, in disagreement with the observed dispersion.

12 pages, 7 eps figures

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Cited by in corpus (41)

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• The a-axis optical conductivity of detwinned ortho-II YBa_2Cu_3O_6.50
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• Underdoped cuprates phenomenology in the 2D Hubbard model within COM(SCBA)
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• Self-Organized Networks and Lattice Effects in High Temperature Superconductors
• Relation between the one-particle spectral function and dynamic spin susceptibility in superconducting Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8-\delta }$
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• Superconductivity-induced nematicity
• Disappearance of Superconductivity Due to Vanishing Coupling in the Overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Resonance mode in $B_{1g}$ Raman scattering -- a way to distinguish between spin-fluctuation and phonon-mediated $d-$wave superconductivity
• Effect of Zn and Ni impurities on the quasiparticle renormalization in Bi-2212
• A reevaluation of the coupling to a bosonic mode of the charge carriers in (Bi,Pb)${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ at the antinodal point
• Composite Operator Method analysis of the underdoped cuprates puzzle
• The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
• Quantitative comparison of single- and two-particle properties in the cuprates
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Kinks and waterfalls as signatures of competing order in angle-resolved photoemission spectra of La_{2-x}Sr_xCuO_4
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• Renormalization of the electron-spin-fluctuation interaction in the t-t'-U Hubbard model
• Origin of Kinks in Energy Dispersion of Strongly Correlated Matter
• A gauge approach to the "pseudogap" phenomenology of the spectral weight in high Tc cuprates
• Non-Fermi liquid scattering against an emergent Bose liquid: manifestations in the kink and other exotic quasiparticle behaviors in the normal-state cuprate superconductors
• Extracting correlation effects from Momentum-Resolved Electron Energy Loss Spectroscopy (M-EELS): Synergistic origin of the dispersion kink in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$
• Strong-coupling Effects in cuprate High-$T_c$ Superconductors by magnetooptical studies
• Three interaction energy scales in single-layer high-T${}_C$ cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Effective electron-electron and electron-phonon interactions in the Hubbard-Holstein model
• Coupling between quasiparticles and a bosonic mode in the normal state of HgBa${}_2$CuO${}_{4+\delta }$
• Tunneling spectra of strongly coupled superconductors: Role of dimensionality
• Life of the nodal quasiparticles in Bi-2212 as seen by ARPES
• Changes in the self-energy and d-wave pairing strength with doping in overdoped La(2-x)Sr(x)CuO4
• Effect of short-range correlations on spectral properties of doped Mott insulators
• Raman resonance in spin S two-leg ladder systems
• Role of the upper branch of the hour-glass magnetic spectrum in the formation of the main kink in the electronic dispersion of high-T${}_{\text{c}}$ cuprate superconductors
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities