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.
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
one-dimensional electron system model
ⓘ
theoretical model ⓘ |
| alsoKnownAs | Tomonaga one-dimensional electron gas model NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| relatedConcept |
Fermi surface in one dimension
ⓘ
sound-wave-like density modes ⓘ |
| relatedTo | Luttinger liquid NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.