Anisotropic superconductivity in the two-dimensional electron-phonon system

Abstract

The properties of the d-wave superconducting state in the two-dimensional system have been studied. It has been assumed, that the pairing mechanism is based on the electron-phonon and the electron-electron-phonon interactions. The obtained results have shown the energy gap amplitude (${\Delta }_{tot}$) crossover, from the BCS to non-BCS behavior, as the value of the electron-electron-phonon potential increases. The model has been tested for the $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$ and $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$ high-$T_C$ superconductors. It has been shown, that the dependence of the $2{\Delta }_{tot}^{(0)}/k_B{T}_C$ ratio on the hole density is in agreement with the experimental data.

References in corpus (10)

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• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
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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