Gutzwiller approximation
E484700
The Gutzwiller approximation is a variational method in condensed matter physics used to study strongly correlated electron systems, particularly metal–insulator (Mott) transitions in lattice models like the Hubbard model.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Gutzwiller projection | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
method in condensed matter physics
ⓘ
theoretical approximation ⓘ variational method ⓘ |
| advantage |
computationally efficient for large systems
ⓘ
provides intuitive picture of correlation effects ⓘ |
| appliedIn |
modeling correlated electrons in narrow bands
ⓘ
theory of heavy-fermion systems ⓘ theory of itinerant ferromagnetism ⓘ theory of transition-metal oxides ⓘ |
| appliedTo |
Hubbard model
NERFINISHED
ⓘ
multi-band Hubbard models ⓘ |
| approximates | expectation values of operators in Gutzwiller wave functions ⓘ |
| assumes |
local interaction terms dominate
ⓘ
variational parameters determined by minimizing ground-state energy ⓘ |
| basedOn | Gutzwiller wave function NERFINISHED ⓘ |
| characteristic |
captures Brinkman–Rice transition in the Hubbard model
ⓘ
captures correlation-induced band narrowing ⓘ introduces renormalization factors for hopping amplitudes ⓘ reduces double occupancy probability ⓘ |
| comparedTo |
exact diagonalization
ⓘ
quantum Monte Carlo methods ⓘ |
| describedIn | Martin C. Gutzwiller’s papers on effect of correlation on ferromagnetism ⓘ |
| developedBy | Martin C. Gutzwiller NERFINISHED ⓘ |
| field | condensed matter physics ⓘ |
| hasVariant |
Gutzwiller approximation for multi-orbital systems
ⓘ
Gutzwiller approximation with spin-rotation invariance ⓘ time-dependent Gutzwiller approximation ⓘ |
| improvesUpon | uncorrelated mean-field descriptions ⓘ |
| influenced | development of modern correlated-electron methods ⓘ |
| limitation |
exact only in infinite spatial dimensions
ⓘ
neglects nonlocal correlations ⓘ static approximation without frequency dependence ⓘ |
| mathematicalForm | renormalization of kinetic and interaction terms by Gutzwiller factors ⓘ |
| publicationYear |
1963
ⓘ
1964 ⓘ |
| relatedTo |
Brinkman–Rice picture of the Mott transition
NERFINISHED
ⓘ
Hartree–Fock approximation NERFINISHED ⓘ dynamical mean-field theory ⓘ slave-boson mean-field theory ⓘ |
| usedFor |
analyzing lattice fermion models
ⓘ
describing metal–insulator transitions ⓘ studying Mott transitions ⓘ studying strongly correlated electron systems ⓘ |
| usesConcept |
local correlation operators
ⓘ
projected wave functions ⓘ variational principle ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Gutzwiller projection