Tomonaga model
E858265
The Tomonaga model is an early theoretical framework in condensed matter physics that describes interacting electrons in one dimension and laid the groundwork for what became known as Luttinger liquid theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Tomonaga model canonical | 1 |
| Tomonaga–Schwinger formalism | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10340593 — 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: Tomonaga model Context triple: [Luttinger liquid theory, developedFrom, Tomonaga model]
-
A.
XY model
The XY model is a two-dimensional spin model in statistical mechanics and condensed matter physics where spins can rotate freely in a plane, used to study phase transitions and phenomena like the Kosterlitz–Thouless transition.
-
B.
Hodgkin–Huxley model
The Hodgkin–Huxley model is a mathematical description of how action potentials in neurons are initiated and propagated through voltage-gated ion channels in the cell membrane.
-
C.
Heisenberg model
The Heisenberg model is a fundamental theoretical framework in quantum mechanics and condensed matter physics that describes interacting spins on a lattice and underpins much of our understanding of magnetism in materials.
-
D.
Nambu–Jona-Lasinio model
The Nambu–Jona-Lasinio model is a theoretical framework in quantum field theory that illustrates spontaneous chiral symmetry breaking and mass generation for fermions, analogous to mechanisms in superconductivity.
-
E.
t-J model
The t-J model is a theoretical framework in condensed matter physics used to describe strongly correlated electrons on a lattice, particularly in the study of high-temperature superconductivity.
- 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: Tomonaga model Target entity description: The Tomonaga model is an early theoretical framework in condensed matter physics that describes interacting electrons in one dimension and laid the groundwork for what became known as Luttinger liquid theory.
-
A.
XY model
The XY model is a two-dimensional spin model in statistical mechanics and condensed matter physics where spins can rotate freely in a plane, used to study phase transitions and phenomena like the Kosterlitz–Thouless transition.
-
B.
Hodgkin–Huxley model
The Hodgkin–Huxley model is a mathematical description of how action potentials in neurons are initiated and propagated through voltage-gated ion channels in the cell membrane.
-
C.
Heisenberg model
The Heisenberg model is a fundamental theoretical framework in quantum mechanics and condensed matter physics that describes interacting spins on a lattice and underpins much of our understanding of magnetism in materials.
-
D.
Nambu–Jona-Lasinio model
The Nambu–Jona-Lasinio model is a theoretical framework in quantum field theory that illustrates spontaneous chiral symmetry breaking and mass generation for fermions, analogous to mechanisms in superconductivity.
-
E.
t-J model
The t-J model is a theoretical framework in condensed matter physics used to describe strongly correlated electrons on a lattice, particularly in the study of high-temperature superconductivity.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
one-dimensional electron system model
ⓘ
theoretical model ⓘ |
| alsoKnownAs |
Tomonaga one-dimensional electron gas model
ⓘ
linked to:
Luttinger liquid theory
|
| applicableTo |
edge states in quantum Hall systems
ⓘ
one-dimensional conductors ⓘ quantum wires ⓘ |
| approach | linear response to density perturbations ⓘ |
| assumes |
forward-scattering interactions
ⓘ
one-dimensional continuum of electrons ⓘ spinless electrons in its simplest form ⓘ |
| category |
quantum many-body theory
ⓘ
theoretical condensed matter models ⓘ |
| clarified | role of collective excitations in 1D metals ⓘ |
| demonstrates | separation of collective modes from single-particle excitations ⓘ |
| describes | interacting electrons in one dimension ⓘ |
| developedBy | Sin-Itiro Tomonaga ⓘ |
| field | condensed matter physics ⓘ |
| focusesOn | low-energy excitations near the Fermi surface ⓘ |
| frameworkFor | one-dimensional many-body systems ⓘ |
| generalizedTo | spinful electrons ⓘ |
| historicalPrecursorOf |
Tomonaga–Luttinger model
ⓘ
linked to:
Luttinger liquid theory
|
| influenced | theory of non-Fermi liquids in one dimension ⓘ |
| inspired |
later formulations of Luttinger liquid theory
ⓘ
subsequent exact solutions of 1D interacting fermion models ⓘ |
| involves |
density fluctuation operators
ⓘ
linear sound-like modes ⓘ |
| laidGroundworkFor | Luttinger liquid theory ⓘ |
| mathematicallyEquivalentTo | a model of non-interacting bosons ⓘ |
| originalTitle | Remarks on Bloch’s method of sound waves applied to many-fermion problems ⓘ |
| predicts |
bosonic character of low-energy excitations
ⓘ
collective density excitations ⓘ |
| publicationYear | 1950 ⓘ |
| publishedIn | Progress of Theoretical Physics ⓘ |
| relatedConcept |
Fermi surface in one dimension
ⓘ
sound-wave-like density modes ⓘ |
| relatedTo |
Luttinger liquid
ⓘ
linked to:
Luttinger liquid theory
|
| shows | breakdown of Fermi liquid theory in one dimension ⓘ |
| studies | one-dimensional Fermi gas with interactions ⓘ |
| uses |
linearized dispersion relation near Fermi points
ⓘ
second quantization ⓘ |
| usesMethod | bosonization ⓘ |
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: Tomonaga model Description of subject: The Tomonaga model is an early theoretical framework in condensed matter physics that describes interacting electrons in one dimension and laid the groundwork for what became known as Luttinger liquid theory.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Tomonaga model