Kubo-Greenwood formula for conductivity
E645104
electrical conductivity formula
linear response theory result
theoretical physics concept
transport theory formula
The Kubo-Greenwood formula for conductivity is a quantum-mechanical expression that relates a material’s electrical conductivity to its electronic states and transition probabilities, widely used to compute transport properties from first-principles calculations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Kubo-Greenwood formula for conductivity canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7150321 — 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: Kubo-Greenwood formula for conductivity Context triple: [Kubo formula, usedIn, Kubo-Greenwood formula for conductivity]
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A.
Landauer–Büttiker formalism
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.
-
B.
Mott minimum metallic conductivity
Mott minimum metallic conductivity is a theoretical lower bound on the electrical conductivity of a metal, proposed by Sir Nevill F. Mott, below which a material can no longer sustain metallic (delocalized) electronic transport.
-
C.
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.
-
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.
von Klitzing constant
The von Klitzing constant is a fundamental physical constant that characterizes the quantized Hall resistance and provides a precise standard for electrical resistance in quantum metrology.
- 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: Kubo-Greenwood formula for conductivity Target entity description: The Kubo-Greenwood formula for conductivity is a quantum-mechanical expression that relates a material’s electrical conductivity to its electronic states and transition probabilities, widely used to compute transport properties from first-principles calculations.
-
A.
Landauer–Büttiker formalism
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.
-
B.
Mott minimum metallic conductivity
Mott minimum metallic conductivity is a theoretical lower bound on the electrical conductivity of a metal, proposed by Sir Nevill F. Mott, below which a material can no longer sustain metallic (delocalized) electronic transport.
-
C.
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.
-
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.
von Klitzing constant
The von Klitzing constant is a fundamental physical constant that characterizes the quantized Hall resistance and provides a precise standard for electrical resistance in quantum metrology.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
electrical conductivity formula
ⓘ
linear response theory result ⓘ theoretical physics concept ⓘ transport theory formula ⓘ |
| appliesTo |
disordered materials
ⓘ
insulators ⓘ metals ⓘ semiconductors ⓘ solids ⓘ |
| assumes | single-particle electronic states in many applications ⓘ |
| basedOn |
linear response theory
ⓘ
quantum mechanics ⓘ |
| canBeGeneralizedTo |
disordered and amorphous systems
ⓘ
finite temperature ⓘ |
| characterizes | linear response of current to an applied electric field ⓘ |
| dependsOn |
electronic band structure
ⓘ
scattering processes encoded in state lifetimes ⓘ |
| derivedFrom | Kubo formula ⓘ |
| describes |
dc conductivity in the zero-frequency limit
ⓘ
frequency-dependent conductivity ⓘ |
| expressedAs | sum over initial and final electronic states of squared velocity matrix elements weighted by occupation differences and energy-conserving delta functions ⓘ |
| field |
condensed matter physics
ⓘ
materials science ⓘ quantum transport theory ⓘ solid-state physics ⓘ |
| involves |
Fermi-Dirac occupation factors
ⓘ
delta functions enforcing energy conservation ⓘ energy eigenvalues ⓘ matrix elements of the velocity operator ⓘ sum over electronic states ⓘ |
| namedAfter |
David A. Greenwood
ⓘ
Ryogo Kubo ⓘ |
| relatedTo |
Boltzmann transport equation
ⓘ
linked to:
Boltzmann equation
Green-Kubo relations ⓘ
linked to:
fluctuation–dissipation theorem
|
| relates |
electrical conductivity
ⓘ
electronic states ⓘ transition probabilities ⓘ |
| usedBy |
computational materials scientists
ⓘ
condensed matter physicists ⓘ |
| usedFor |
ab initio transport simulations
ⓘ
calculation of electrical conductivity from first principles ⓘ calculation of optical conductivity ⓘ calculation of transport coefficients ⓘ |
| usedIn |
density functional theory calculations
ⓘ
electronic structure calculations ⓘ molecular dynamics based transport studies ⓘ |
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: Kubo-Greenwood formula for conductivity Description of subject: The Kubo-Greenwood formula for conductivity is a quantum-mechanical expression that relates a material’s electrical conductivity to its electronic states and transition probabilities, widely used to compute transport properties from first-principles calculations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.