Eliashberg theory
E9105
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
Aliases (7)
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
superconductivity theory
→
theoretical framework → |
| accountsFor |
finite quasiparticle lifetime
→
mass renormalization → strong electron-phonon coupling → |
| aimsTo |
provide more accurate description than BCS for real materials
→
|
| applicableTo |
isotropic s-wave superconductors
→
|
| appliesTo |
conventional phonon-mediated superconductors
→
strong-coupling superconductors → |
| assumes |
Migdal approximation
→
phonon-mediated pairing interaction → |
| canBe |
analytically continued to real frequencies
→
|
| captures |
deviations from BCS gap ratio
→
strong-coupling corrections to thermodynamic quantities → |
| comparesWith |
McMillan formula for Tc
→
|
| describes |
superconducting state
→
|
| developedBy |
G. M. Eliashberg
→
|
| developedIn |
1960s
→
|
| domain |
finite temperature
→
imaginary frequency axis → |
| equations |
Eliashberg equations
→
|
| extends |
BCS theory
→
|
| field |
condensed matter physics
→
|
| formalism |
Green’s function formalism
→
Matsubara frequency formalism → |
| frameworkType |
self-consistent integral equations
→
|
| generalizes |
BCS weak-coupling limit
→
|
| hasExtension |
anisotropic Eliashberg theory
→
multiband Eliashberg theory → |
| includes |
Coulomb pseudopotential μ*
→
frequency-dependent electron-phonon interaction → retardation effects → self-energy corrections → |
| influenced |
strong-coupling superconductivity research
→
|
| namedAfter |
Gennady Eliashberg
→
|
| predicts |
critical temperature
→
quasiparticle renormalization → superconducting energy gap → |
| reducesTo |
BCS theory in weak-coupling limit
→
|
| relatedTo |
Fermi liquid theory
→
Migdal–Eliashberg theory → |
| usedFor |
analysis of optical conductivity in superconductors
→
analysis of tunneling spectra → interpretation of isotope effect → quantitative description of real superconductors → |
| uses |
Eliashberg function α²F(ω)
→
electron-phonon spectral function → |
Referenced by (13)
| Subject (surface form when different) | Predicate |
|---|---|
|
BCS theory of superconductivity
→
Eliashberg theory ("Migdal–Eliashberg theory") → |
relatedTo |
|
G. M. Eliashberg
→
G. M. Eliashberg ("Eliashberg strong‑coupling equations") → |
theoryNamedAfter |
|
G. M. Eliashberg
("Migdal–Eliashberg theory")
→
|
associatedConcept |
|
G. M. Eliashberg
("Eliashberg spectral function")
→
|
associatedWith |
|
Eliashberg theory
("Eliashberg equations")
→
|
equations |
|
G. M. Eliashberg
→
|
knownFor |
|
Gennady Eliashberg
("Eliashberg theory of superconductivity")
→
|
notableFor |
|
Gennady Eliashberg
("Eliashberg theory of superconductivity")
→
|
notableWork |
|
Migdal approximation
("Migdal-Eliashberg theory")
→
|
relatedConcept |
|
Migdal approximation
→
|
usedIn |
|
Eliashberg theory
("Eliashberg function α²F(ω)")
→
|
uses |