Cluster approximations to response functions in disordered systems and macroscopic conservation laws
- 14 April 1976
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 9 (7) , 1225-1233
- https://doi.org/10.1088/0022-3719/9/7/013
Abstract
It is shown that a sufficient condition for any self-consistent approximation for response functions (configuration-averaged) in disordered systems to obey the macroscopic conservation laws is that the Ward identity holds for the approximate quantities. The diagrammatic and graphical techniques of generating the CCPA of two-particle Green functions are examined in this light.Keywords
This publication has 14 references indexed in Scilit:
- Fermion-field theory and configuration averaging. III. Off-diagonal disorder and bond CPAJournal of Physics C: Solid State Physics, 1975
- Fermion-field theory and configuration averaging. II. Two-particle Green functionsJournal of Physics C: Solid State Physics, 1975
- Fermion-field theory and configuration averagingJournal of Physics C: Solid State Physics, 1975
- Localization and its absence in CPA calculationsJournal of Physics C: Solid State Physics, 1974
- The theory and properties of randomly disordered crystals and related physical systemsReviews of Modern Physics, 1974
- A new approach to the CPA and its generalizationsJournal of Physics C: Solid State Physics, 1974
- Averaged density of states in disordered systemsJournal of Physics C: Solid State Physics, 1973
- Equivalence of Expanding in Localized or Bloch States in Disordered AlloysPhysical Review B, 1970
- Self-Consistent Approximations in Many-Body SystemsPhysical Review B, 1962
- Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction ProblemsJournal of the Physics Society Japan, 1957