Anisotropic Eliashberg theory and the two-band model for the superconducting properties of MgB2
Hyoung Joon Choi, Marvin L. Cohen, Steven G. Louie
DOI 10.1103/PhysRevB.73.104520 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We present a framework for the anisotropic Eliashberg theory for the superconducting properties of MgB2 and reduce the framework to a zeroth-order two-band model by neglecting the variation of the electron-phonon interaction within the σ and π sheets, of the Fermi surface. We then derive a second-order-corrected two-band model using a systematic expansion of the theory with respect to the intrasheet variation of the electron-phonon interaction. Our results show that the zeroth-order two-band model reproduces successfully the results of the anisotropic Eliashberg theory with fairly small errors and that, with the second-order corrections, the model coincides with the full theory. The second-order-corrected two-band model reproduces not only the intersheet but also the intrasheet variation of the superconducting energy gap on the Fermi surface.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 39 | Pressure not reported | unknown |
| MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 39 | Pressure not reported | unknown |
Similar papers
Combining Eliashberg Theory with Density Functional Theory for the Accurate Prediction of Superconducting Transition Temperatures and Gap Functions
similarity 0.97A. Sanna et al.
Source status unknown — claims are unverified
Anisotropic Eliashberg theory for superconductivity in compressed and doped MgB2
similarity 0.97Hyoung Joon Choi et al.
Source status unknown — claims are unverified
First-principles calculation of the superconducting transition in MgB2 within the anisotropic Eliashberg formalism
similarity 0.97Hyoung Joon Choi et al.
Source status unknown — claims are unverified
Beyond Eliashberg Superconductivity in MgB2: Anharmonicity, Two-Phonon Scattering, and Multiple Gaps
similarity 0.97Amy Y. Liu et al.
Source status unknown — claims are unverified
Comment on “First-principles calculation of the superconducting transition in MgB2 within the anisotropic Eliashberg formalism”
similarity 0.96I. I. Mazin et al.
Source status unknown — claims are unverified
Properties of the superconducting state in a two-band model
similarity 0.96E. J. Nicol & J. P. Carbotte
Source status unknown — claims are unverified