Inclusion of force constant and mass disorder in a self-consistent theory of phonons in high concentration alloys

摘要: Various correlation functions appearing in the theory of vibrating substitutional alloys with an arbitrary concentration defects, including mass disorder as well force-constant changes are calculated. The matrix is chosen such that formalism locator-CPA can be applied to calculate configuration averages. In order make sure infinitesimal translational invariance not violated by averaging procedure, it necessary incorporate this requirement into self-consistent equations. limiting case defects only known results thus rederived from another point view. Numerical shown which demonstrate effect on frequency spectrum and shifts widths phonon frequencies.