Theory of High-Tc Superconductivity: Transition Temperature

Abstract

It is demonstrated that the transition temperature (Tc) of high-Tc superconductors is determined by their layered crystal structure, bond lengths, valency properties of the ions, and Coulomb coupling between electronic bands in adjacent, spatially separated layers. Analysis of 31 high-Tc materials (cuprates, ruthenates, rutheno-cuprates, iron pnictides, organics) yields the universal relationship for optimal compounds, kBTc0 = β/\ellζ, where \ell is related to the mean spacing between interacting charges in the layers, ζ is the distance between interacting electronic layers, β is a universal constant and Tc0 is the optimal transition temperature (determined to within an uncertainty of +/- 1.4 K by this relationship). Non-optimum compounds, in which sample degradation is evident, e.g. by broadened superconducting transitions and diminished Meissner fractions, typically exhibit reduced Tc < Tc0. It is shown that Tc0 may be obtained from an average of Coulomb interaction forces between the two layers.

28 pages, 147 references, 5 figures, 2 tables

References in corpus (14)

• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Structural and magnetic phase diagram of CeFeAsO1-xFx and its relationship to high-temperature superconductivity
• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• Electron Correlations in the Low Carrier Density LaFeAsO0.89F0.11 Superconductor (Tc = 28 K)
• High pressure synthesis of late rare earth RFeAs(O,F) superconductors; R = Tb and Dy
• Transport properties and superconductivity in $B{a}_{1-x}{M}_{x}F{e}_{2}A{s}_2$ (M=La and K) with double FeAs layers
• Th substituted SmFeAsO: structural details and superconductivity with Tc above 50 K
• Appearance of New Energy Gap and Periodic Local Density-of-States Modulation in $B{i}_{2}S{r}_{1.6}L{a}_{0.4}Cu{O}_{6+\delta }$
• Growth, characterization and physical properties of high-quality large single crystals of Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_6$ high-temperature superconductors
• Doping n-type carriers by La-substitution for Ba in YBa_2Cu_3O_y system
• Intrinsic electronic superconducting phases at 60 K and 90 K in double-layer YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Coexisting Holes and Electrons in High-Tc Materials: Implications from Normal State Transport
• Reply to "Comment on 'Isotope effect in high-Tc superconductors' "

Cited by in corpus (9)

• A Common Thread: the pairing interaction for the unconventional superconductors
• High-$T_{\text{C}}$ Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moir$\acute{e}$ Superlattices
• Comment on "Superconductivity in electron-doped layered TiNCl with variable interlayer coupling"
• High-$T$${}_{\text{C}}$ Superconductivity in Hydrogen Clathrates Mediated by Coulomb Interactions between Hydrogen and Central-Atom Electrons
• Charge compensation and optimal stoichiometry in superconducting (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Concerning the superconducting gap symmetry in YBa2Cu3O7-δ, YBa2Cu4O8, and La2-xSrxCuO4 determined from muon spin rotation in mixed states of crystals and powders
• Modeling Intercalated Group-4-Metal Nitride Halide Superconductivity with Interlayer Coulomb Coupling
• Superconducting $I$$\overline{4}$3$m$ CSH${}_7$ model applied to resistive transition temperature data for compressed C-S-H at high pressure
• High-$T_{\text{C}}$ superconductivity in Cs${}_3$C${}_{60}$ compounds governed by local Cs-C${}_{60}$ Coulomb interactions