Vibronic mechanism of high-Tc superconductivity

Abstract

The dispersion of the in-plane Cu-O bond-stretching LO phonon mode in the high-$T_C$ superconducting cuprates shows strong softening with doping near the zone boundary. We suggest that it can be described with a negative electronic dielectric function that results in overscreening of inter-site Coulomb interaction due to phonon-induced charge transfer and vibronic electron-phonon resonance. We propose that such a strong electron-phonon coupling of specific modes can form a basis for the phonon mechanism of high-temperature superconductivity. With the Eliashberg theory using the experimentally determined electron dispersion and dielectric function, we demonstrate the possibility of superconductivity with the order parameter of the $d_{k_x^2-k_y^2}$ symmetry and the transition temperature well in excess of 100K.

arXiv comment16 pages, 6 figures. Submitted to Phys.Rev.B

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• Softening of Cu-O bond stretching phonon in tetragonal HgBa${}_2$CuO${}_{4+\delta }$
• Polaron formation as origin of unconventional isotope effects in cuprate superconductors
• The c-axis transport in naturally-grown Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ cross-whisker junctions
• Dispersion of the high-energy phonon modes in Nd${}_{1.85}$Ce${}_{0.15}$CuO${}_4$
• Oxygen-isotope effect on the in-plane penetration depth in cuprate superconductors
• Site-selective oxygen isotope effect on the magnetic field penetration depth in underdoped Y${}_{0.6}$Pr${}_{0.4}$Ba${}_2$Cu${}_3$O${}_{7-\delta }$
• The impact of dynamical screening on the phonon dynamics of LaCuO
• Phonons, electronic charge response and electron-phonon interaction in the high-temperature superconductors
• Competing orders and the doping and momentum dependent quasiparticle excitations in cuprate superconductors
• Competing Orders and Quantum Phase Fluctuations on the Low-Energy Excitations and Pseudogap Phenomena of Cuprate Superconductors
• Spin-phonon coupling, q-dependence of spin excitations and high-T${}_C$ superconductivity from band models
• Unconventional Low-Energy Excitations of Cuprate Superconductors
• Critical role of magnetic moments on lattice dynamics in YBa${}_2$Cu${}_3$O${}_6$
• Local dynamical lattice instabilities: Prerequisites for resonant pairing superconductivity