Ginzburg-Landau-Gorkov theory for high-temperature superconductors
L. Tewordt, S. Wermbter, Th. Wölkhausen
DOI 10.1103/PhysRevB.40.6878 · Physical Review B
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Abstract
We use Gorkov’s theory to calculate the coefficients of the Ginzburg-Landau theory from a narrow two-dimensional tight-binding band. We consider s-wave, d-wave, and coupled s-d-wave pairing states of square symmetry. The resulting energy gap Δ, the thermodynamic critical field Hc, the coherence length ξ, and the magnetic penetration depth λL depend on band width, band filling, and pairing state. The simple s-wave state yields the highest Δ and the highest Hc and thus appears to be the most likely candidate. Scattering of carriers by phonons and impurities leads to multiplication of ξ2 and λL−2 by χ(x), where χ is the Gorkov function and x=λ+(Γ/πkBTc) (here λ is the electron-phonon coupling constant and Γ the scattering rate due to impurities). For small band widths and low carrier densities, we obtain qualitative agreement with the measured values of the coherence length and penetration depth in the ab plane for YBa2Cu3O7−δ. .AE
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBa2Cu3O7-δ Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 91 | Pressure not reported | unknown |
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