Luttinger liquid theory
E243117
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.
All labels observed (6)
| Label | Occurrences |
|---|---|
| Luttinger liquid theory canonical | 3 |
| Luttinger liquid | 2 |
| Tomonaga-Luttinger model | 2 |
| Luttinger model | 1 |
| Tomonaga one-dimensional electron gas model | 1 |
| Tomonaga–Luttinger model | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2173587 — 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: Luttinger liquid theory Context triple: [Fermi liquid theory, contrastsWith, Luttinger liquid 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.
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.
-
D.
Mott transition
The Mott transition is a metal–insulator transition in strongly correlated electron systems, where electron–electron interactions drive a material from conducting to insulating behavior without a change in its crystal structure.
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E.
Ginzburg–Landau 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.
- 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: Luttinger liquid theory Target entity description: 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.
-
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.
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.
-
D.
Mott transition
The Mott transition is a metal–insulator transition in strongly correlated electron systems, where electron–electron interactions drive a material from conducting to insulating behavior without a change in its crystal structure.
-
E.
Ginzburg–Landau 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.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
condensed matter physics theory
ⓘ
many-body theory ⓘ theoretical framework ⓘ |
| appliesTo |
carbon nanotubes
ⓘ
edge states of fractional quantum Hall systems ⓘ gapless one-dimensional systems ⓘ one-dimensional metals ⓘ quantum wires ⓘ |
| associatedWith |
F. Duncan M. Haldane
ⓘ
Joaquin Mazdak Luttinger ⓘ Sin-Itiro Tomonaga ⓘ |
| assumes | linearization of the dispersion near Fermi points ⓘ |
| basedOn | bosonization ⓘ |
| characterizedBy |
Luttinger parameter K
ⓘ
charge velocity v_c ⓘ spin velocity v_s ⓘ |
| contrastsWith | Fermi liquid theory ⓘ |
| describes |
collective behavior of electrons in one-dimensional conductors
ⓘ
non-Fermi-liquid behavior ⓘ one-dimensional interacting electron systems ⓘ |
| developedFrom |
Luttinger model
ⓘ
linked to:
Luttinger liquid theory
Tomonaga model ⓘ |
| energyScale | low-energy excitations near the Fermi points ⓘ |
| explains |
anomalous transport in one-dimensional conductors
ⓘ
non-Fermi-liquid spectral functions in 1D ⓘ power-law I–V characteristics in tunneling experiments ⓘ |
| field | condensed matter physics ⓘ |
| formalism | bosonization of fermionic fields ⓘ |
| generalizes |
Tomonaga-Luttinger model
ⓘ
linked to:
Luttinger liquid theory
|
| implies |
absence of discontinuity in the momentum distribution at the Fermi momentum
ⓘ
separation of collective charge and spin excitations ⓘ |
| mathematicallyRelatedTo |
Gaussian free boson theory
ⓘ
conformal field theory in 1+1 dimensions ⓘ |
| predicts |
absence of Landau quasiparticles in one dimension
ⓘ
charge and spin modes with different velocities ⓘ non-universal power-law exponents depending on interaction strength ⓘ power-law behavior of correlation functions ⓘ spin-charge separation of excitations ⓘ suppression or enhancement of tunneling density of states ⓘ |
| usedIn |
description of cold atoms in one-dimensional traps
ⓘ
theory of one-dimensional superconductors ⓘ theory of quantum spin chains ⓘ |
| usesConcept |
Tomonaga-Luttinger model
ⓘ
linked to:
Luttinger liquid theory
bosonic density waves ⓘ spin-charge separation ⓘ |
| validRegime |
long-wavelength limit
ⓘ
low temperatures ⓘ |
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: Luttinger liquid theory Description of subject: 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.
Referenced by (10)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory
linked to: Luttinger liquid theory