Landauer–Büttiker formalism
E412901
The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Landauer approach to multi-terminal systems | 1 |
| Landauer formula | 1 |
| Landauer–Büttiker formalism canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4091833 — 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: Landauer–Büttiker formalism Context triple: [Rolf Landauer, knownFor, Landauer–Büttiker formalism]
-
A.
Landau–Zener formula
The Landau–Zener formula is a quantum mechanical result that gives the probability of non-adiabatic transitions between energy levels during an avoided crossing when a system’s parameters are varied in time.
-
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.
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.
-
D.
Kirkwood approximation in statistical mechanics
The Kirkwood approximation in statistical mechanics is a method for approximating many-particle correlation functions by expressing higher-order correlations in terms of lower-order ones, simplifying the description of interacting particle systems.
-
E.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
- 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: Landauer–Büttiker formalism Target entity description: The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
-
A.
Landau–Zener formula
The Landau–Zener formula is a quantum mechanical result that gives the probability of non-adiabatic transitions between energy levels during an avoided crossing when a system’s parameters are varied in time.
-
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.
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.
-
D.
Kirkwood approximation in statistical mechanics
The Kirkwood approximation in statistical mechanics is a method for approximating many-particle correlation functions by expressing higher-order correlations in terms of lower-order ones, simplifying the description of interacting particle systems.
-
E.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mesoscopic physics concept
ⓘ
quantum transport formalism ⓘ theoretical framework ⓘ transport theory ⓘ |
| appliesTo |
ballistic conductors
ⓘ
mesoscopic conductors ⓘ multi-terminal devices ⓘ phase-coherent nanostructures ⓘ quantum Hall bars ⓘ quantum point contacts ⓘ |
| assumes |
ideal reservoirs
ⓘ
non-interacting electrons ⓘ phase-coherent transport ⓘ |
| basedOn |
Landauer formula
ⓘ
linked to:
Landauer–Büttiker formalism
|
| describes |
electrical conductance
ⓘ
electron transmission through scattering channels ⓘ multi-terminal conductors ⓘ phase-coherent transport ⓘ quantum transport of electrons ⓘ |
| developedBy |
Markus Büttiker
ⓘ
Rolf Landauer ⓘ |
| extends |
Landauer approach to multi-terminal systems
ⓘ
linked to:
Landauer–Büttiker formalism
|
| field |
condensed matter physics
ⓘ
mesoscopic physics ⓘ quantum transport ⓘ |
| formulates | current as sum over transmission probabilities ⓘ |
| hasKeyEquation | I_alpha = (2e^2/h) * sum_{beta} (T_{beta alpha} V_alpha - T_{alpha beta} V_beta) ⓘ |
| language | mathematical physics notation ⓘ |
| predicts |
integer quantum Hall conductance plateaus
ⓘ
quantized conductance ⓘ |
| relatedConcept |
Kubo formula
ⓘ
non-equilibrium Green’s function formalism ⓘ scattering theory of transport ⓘ |
| relatesQuantity |
conductance
ⓘ
current ⓘ transmission coefficients ⓘ voltage ⓘ |
| timePeriod | late 20th century ⓘ |
| usedFor |
analyzing transport in quantum Hall effect
ⓘ
calculating conductance of mesoscopic systems ⓘ modeling nanoscale electronic devices ⓘ |
| usesConcept |
Fermi–Dirac distribution
ⓘ
linked to:
Fermi–Dirac statistics
chemical potential ⓘ quantum channels ⓘ reservoirs ⓘ scattering matrix ⓘ scattering theory ⓘ transmission probability ⓘ |
| usesUnit | conductance quantum ⓘ |
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: Landauer–Büttiker formalism Description of subject: The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Landauer–Büttiker formalism
linked to: Landauer–Büttiker formalism