Ginzburg–Landau theory of superconductivity

E10997

field theory phenomenological theory theory of superconductivity

The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.

Aliases (7)

Statements (47)

Predicate	Object
instanceOf	field theory → phenomenological theory → theory of superconductivity →
appliesTo	type-I superconductors → type-II superconductors →
approximates	BCS theory near critical temperature →
assumes	continuous phase transition →
basedOn	Landau theory of second-order phase transitions →
category	Superconductivity →
characterizes	order parameter amplitude → order parameter phase →
couplesTo	electromagnetic vector potential →
defines	Ginzburg–Landau parameter kappa →
describes	coherence length in superconductors → macroscopic properties of superconductors → magnetic behavior of superconductors → penetration depth in superconductors → superconducting phase transition →
explains	Meissner effect → critical magnetic fields of superconductors →
field	condensed matter physics → theoretical physics →
formulatedBy	Lev Landau → Vitaly Ginzburg →
frameworkFor	macroscopic quantum phenomena in superconductors →
generalizedTo	anisotropic superconductors → multicomponent superconductors → unconventional superconductors →
influenced	development of modern condensed matter field theories →
inspiredBy	Landau mean-field theory →
introduced	1950 →
introduces	Ginzburg–Landau parameter →
leadsTo	Ginzburg–Landau equations →
namedAfter	Lev Landau → Vitaly Ginzburg →
predicts	Abrikosov vortex lattice → existence of vortices in type-II superconductors →
relates	coherence length to penetration depth →
usedIn	description of Josephson effect → description of flux quantization → modeling of superconducting devices → theory of superconducting vortices →
uses	complex order parameter → free energy functional → macroscopic wave function → order parameter symmetry →
validNear	critical temperature →

Referenced by (16)

Subject (surface form when different)	Predicate
BCS theory of superconductivity → London equations ("Ginzburg–Landau theory") → Pippard nonlocal theory ("Ginzburg–Landau theory") →	relatedTo
Lev Landau ("Ginzburg–Landau theory") → Vitaly Ginzburg →	knownFor
Vitaly Ginzburg ("Ginzburg–Landau equations") → Vitaly Ginzburg ("Ginzburg criterion in phase transitions") →	notableIdea
London penetration depth →	appearsIn
Bardeen–Stephen model of flux flow in superconductors ("time-dependent Ginzburg–Landau theory (phenomenologically)") →	basedOn
Ginzburg–Landau theory of superconductivity ("Ginzburg–Landau parameter kappa") →	defines
Abrikosov vortices ("Ginzburg–Landau theory") →	describedBy
Landau theory of second-order phase transitions ("Landau–Ginzburg theory") →	generalizedTo
Ginzburg–Landau theory of superconductivity ("Ginzburg–Landau parameter") →	introduces
Ginzburg–Landau theory of superconductivity ("Ginzburg–Landau equations") →	leadsTo
Meissner effect ("Ginzburg–Landau theory") →	relatedConcept
London penetration depth ("Ginzburg–Landau parameter") →	usedToDefine