The toy model for the high-Tc superconductivity

Abstract

The simple microscopic model for the high-T_{C} superconductors based on the electron-phonon (EPH) and electron-electron-phonon (EEPH) interactions has been presented. On the {\it fold} mean-field level, it has been shown, that the obtained model supplements the predictions based on the BCS van Hove scenario. In particular: (i) For strong EEPH coupling and T<T_{C} the energy gap (Δ_{tot}) is very weak temperature dependent; up to the critical temperature Δ_{tot} extends into the anomalous normal state to the Nernst temperature. (ii) The model explains well the experimental dependence of the ratio R_{1}\equiv 2Δ_{tot}^{(0)}/k_{B}T_{C} on doping for the reported superconductors in the terms of the few fundamental parameters.

References in corpus (13)

• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Distinct doping dependences of the pseudogap and superconducting gap La${}_{2-x}$Sr${}_x$CuO${}_4$ cuprate superconductors
• Doping dependence of chemical potential and entropy in hole- and electron-doped high-Tc cuprates
• Normal State Nernst Effect in Electron-doped Pr2-xCexCuO4: Superconducting Fluctuations and Two-band Transport
• Optical determination of the superconducting energy gap in electron-doped Pr_{1.85}Ce_{0.15}CuO_4
• Specific heat and thermodynamic critical field for the molecular metallic hydrogen
• Properties of the superconducting state in molecular metallic hydrogen under pressure at 347 GPa
• Superconductivity of calcium under the pressure at 120 GPa
• Thermodynamics of the superconducting state in Calcium at 200 GPa
• Correlation between incoherent phase fluctuations and disorder in Y${}_{1-x}$Pr${}_x$Ba${}_2$Cu${}_3$O${}_{7-\delta }$ epitaxial films from Nernst effect measurements
• Nernst Effect in NdBa_2[Cu_{1-y}Ni_y]_3O_{7-δ}

Cited by in corpus (12)

• Quantitative analysis of nonadiabatic effects in dense H${}_3$S and PH${}_3$ superconductors
• Multigap superconducting state in molecular metallic hydrogen
• The characterization of high-pressure superconducting state in Si2H6 compound: the strong-coupling description
• Anisotropy of the gap parameter in the hole-doped cuprates
• Study of the superconducting state in the Cmmm phase of GeH4 compound
• Description of the superconducting state in the high-pressure fcc phase of platinum-hydride
• The high-pressure superconductivity in SiH4: the strong-coupling approach
• Electron-phonon pairing mechanism: cuprates with high value of the critical temperature
• Pseudogap in Eliashberg approach based on electron-phonon and electron-electron-phonon interaction
• Anisotropic evolution of energy gap in Bi2212 superconductor
• Unbalanced superconductivity induced by the constant electron-phonon coupling on a square lattice
• Non-BCS temperature dependence of energy gap in thin film electron-doped cuprates