Theory of electronic transport in random alloys: Korringa-Kohn-Rostoker coherent-potential approximation

Journal Article · Fri Mar 15 04:00:00 EST 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.31.3260· OSTI ID:5918960

Butler, W H

The Korringa-Kohn-Rostoker coherent-potential approximation is a powerful and versatile tool for calculating the single-particle properties of disordered alloys. Here this technique is extended to transport properties. The formalism is based on the one-electron Kubo formula. It yields correct results in the limits of weak scattering or low concentration, i.e., the solution to the Boltzmann equation including vertex corrections. Transport coefficients can also be easily evaluated in the strong-scattering, high-concentration regime where the Boltzmann equation is not valid. The structure of the formalism is displayed by applying it to a one-dimensional muffin-tin model alloy.

• Research Organization: Metals and Ceramics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
• OSTI ID: 5918960
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 31:6; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOYS
BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
FUNCTIONS
KUBO FORMULA
MUFFIN-TIN POTENTIAL
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
POTENTIALS
SCATTERING
VERTEX FUNCTIONS