Research Article

Electrostatic Potential in High-Temperature Superconducting Cuprates: Extended Ginzburg-Landau Theory

Table 1

Material parameters for YBCO.

Critical temperature 𝑇 𝑐 90  K
Debye temperature Θ 𝐷 440  K
Coupling parameter 𝜆 3
Coulomb pseudo potential 𝜇 0.2
Coefficient of specific heat 𝛾 3 0 2 J K 2 m 3
Hole density 𝑛 5 × 1 0 2 7 m 3
Logarithmic derivative 𝜕 𝐷 0 / 𝜕 𝐸 𝐹 7 . 5 × 1 0 1 9 J 1
Density of states 𝐷 2 . 4 1 × 1 0 4 7 J 1 m 3
Bare density 𝐷 0 0 . 6 0 2 × 1 0 4 7 J 1 m 3
BCS interaction 𝑉 4 . 9 8 × 1 0 4 7 J m 3
Condensation energy 𝜖 c o n 5 . 4 5 × 1 0 5 J m 3
Coefficient (A6) 𝜕 𝛾 / 𝜕 𝑛 8 . 2 3 × 1 0 2 6 J
Coefficient (A11) 𝜕 𝜖 c o n / 𝜕 𝑛 1 6 . 0 2 × 1 0 2 3 J
Coefficient of 𝐶 1 𝜕 l n 𝜖 c o n / 𝜕 l n 𝑛 1.47
Coefficient of 𝐶 2 𝜕 l n 𝛾 / 𝜕 l n 𝑛 1.4