Dynamical Mean-Field Theory
E484699
Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Dynamical Mean-Field Theory canonical | 1 |
| dynamical mean-field theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4975787 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dynamical Mean-Field Theory Context triple: [Mott transition, theoreticalFramework, Dynamical Mean-Field Theory]
-
A.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
-
B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
-
C.
Hubbard model
The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
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D.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
-
E.
Quantum Theory of Solids
Quantum Theory of Solids is a foundational physics text that systematically applies quantum mechanics to explain the electronic, thermal, and structural properties of crystalline solids.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dynamical Mean-Field Theory Target entity description: Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
-
A.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
-
B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
-
C.
Hubbard model
The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
-
D.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
-
E.
Quantum Theory of Solids
Quantum Theory of Solids is a foundational physics text that systematically applies quantum mechanics to explain the electronic, thermal, and structural properties of crystalline solids.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
many-body method
ⓘ
theoretical framework in condensed matter physics ⓘ |
| aimsTo | capture local electronic correlations ⓘ |
| alsoKnownAs | DMFT ⓘ |
| appliesTo |
Hubbard model
ⓘ
Kondo lattice model ⓘ periodic Anderson model ⓘ |
| assumes | local self-energy ⓘ |
| basedOn | mapping of lattice models to quantum impurity models ⓘ |
| becomesExactInLimit |
infinite lattice coordination number
ⓘ
infinite spatial dimensions ⓘ |
| canDescribe |
Kondo screening
ⓘ
Mott metal–insulator transition ⓘ
linked to:
Mott transition
bad metals ⓘ correlated metals ⓘ heavy-fermion behavior ⓘ |
| captures |
Hubbard bands
ⓘ
dynamical screening effects ⓘ quasiparticle peak ⓘ |
| characteristic |
local approximation
ⓘ
non-perturbative ⓘ self-consistent ⓘ |
| coreQuantity |
hybridization function
ⓘ
local Green's function ⓘ local self-energy ⓘ |
| developedBy |
Antoine Georges
ⓘ
Gabriel Kotliar ⓘ Marc J. Rozenberg ⓘ Werner Krauth ⓘ |
| extension |
DFT+DMFT
ⓘ
linked to:
density functional theory
LDA+DMFT ⓘ
linked to:
density functional theory
|
| field |
condensed matter physics
ⓘ
strongly correlated electron systems ⓘ |
| generalization |
cluster dynamical mean-field theory
ⓘ
dynamical cluster approximation ⓘ |
| neglects | non-local spatial correlations in its simplest form ⓘ |
| notablePublication | Georges et al., Reviews of Modern Physics 68, 13 (1996) ⓘ |
| requiresSolutionMethod |
continuous-time quantum Monte Carlo
ⓘ
exact diagonalization impurity solver ⓘ iterated perturbation theory impurity solver ⓘ numerical renormalization group impurity solver ⓘ quantum Monte Carlo impurity solver ⓘ |
| usedFor |
finite-temperature phase diagrams of correlated systems
ⓘ
optical conductivity of correlated materials ⓘ photoemission spectra of correlated materials ⓘ realistic electronic structure of correlated materials ⓘ study of f-electron systems ⓘ study of high-temperature superconductors ⓘ study of transition metal oxides ⓘ |
| uses |
quantum impurity problem
ⓘ
self-consistency condition ⓘ |
| yearOfKeyReview | 1996 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Dynamical Mean-Field Theory Description of subject: Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Dynamical Mean-Field Theory