Eliashberg theory

E9105

superconductivity theory theoretical framework

Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.

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All labels observed (10)

Label	Occurrences
Eliashberg theory canonical	4
Migdal–Eliashberg theory	3
Eliashberg theory of superconductivity	2
Eliashberg equations	1
Eliashberg function α²F(ω)	1
Eliashberg spectral function	1
Eliashberg strong‑coupling equations	1
Migdal-Eliashberg theory	1
Migdal–Eliashberg strong-coupling theory	1
Migdal–Eliashberg theory of superconductivity	1

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 theory self-linksurface differs ⓘ surface form: Eliashberg equations
extends	BCS theory ⓘ
field	condensed matter physics ⓘ
formalism	Green’s function formalism ⓘ Matsubara frequency formalism ⓘ
frameworkType	self-consistent integral equations ⓘ
generalizes	BCS theory of superconductivity ⓘ surface form: 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 ⓘ Eliashberg theory self-linksurface differs ⓘ surface form: 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 theory self-linksurface differs ⓘ surface form: Eliashberg function α²F(ω) electron-phonon spectral function ⓘ

Referenced by (16)

Full triples — surface form annotated when it differs from this entity's canonical label.

BCS theory of superconductivity → relatedTo → Eliashberg theory ⓘ

Eliashberg theory → equations → Eliashberg theory self-linksurface differs ⓘ

this entity surface form: Eliashberg equations

Eliashberg theory → uses → Eliashberg theory self-linksurface differs ⓘ

this entity surface form: Eliashberg function α²F(ω)

Eliashberg theory → relatedTo → Eliashberg theory self-linksurface differs ⓘ

this entity surface form: Migdal–Eliashberg theory

Migdal approximation → usedIn → Eliashberg theory ⓘ

Migdal approximation → relatedConcept → Eliashberg theory ⓘ

this entity surface form: Migdal-Eliashberg theory

G. M. Eliashberg → knownFor → Eliashberg theory ⓘ

G. M. Eliashberg → theoryNamedAfter → Eliashberg theory ⓘ

this entity surface form: Eliashberg strong‑coupling equations

G. M. Eliashberg → associatedConcept → Eliashberg theory ⓘ

this entity surface form: Migdal–Eliashberg theory

G. M. Eliashberg → associatedWith → Eliashberg theory ⓘ

this entity surface form: Eliashberg spectral function

Gennady Eliashberg → notableFor → Eliashberg theory ⓘ

this entity surface form: Eliashberg theory of superconductivity

Gennady Eliashberg → notableWork → Eliashberg theory ⓘ

this entity surface form: Eliashberg theory of superconductivity

Arkady Migdal → notableWork → Eliashberg theory ⓘ

this entity surface form: Migdal–Eliashberg theory

Arkady Migdal → knownFor → Eliashberg theory ⓘ

this entity surface form: Migdal–Eliashberg theory of superconductivity

Arkady Migdal → notableIdea → Eliashberg theory ⓘ

this entity surface form: Migdal–Eliashberg strong-coupling theory