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.
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 NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
Ryogo Kubo NERFINISHED ⓘ |
| relatedTo |
Boltzmann transport equation
NERFINISHED
ⓘ
Green-Kubo relations NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.