Vibrational properties of phonons in random binary alloys: An augmented space recursive technique in the k-representation

Details Vibrational properties of phonons in random binary alloys: An augmented space recursive technique in the k-representation Vibrational properties of phonons in random binary alloys: An augmented space recursive technique in the k-representation

2003-07-29

arxiv.org/abs/cond-mat/0307697v2

Physics

Condensed Matter

Materials Science

20 pages, LaTeX, 23 figures

Scientific paper

10.1103/PhysRevB.69.024205

We present here an augmented space recursive technique in the k-representation which include diagonal, off-diagonal and the environmental disorder explicitly : an analytic, translationally invariant, multiple scattering theory for phonons in random binary alloys.We propose the augmented space recursion (ASR) as a computationally fast and accurate technique which will incorporate configuration fluctuations over a large local environment. We apply the formalism to $Ni_{55}Pd_{45}$, $Ni_{88}Cr_12}$ and $Ni_{50}Pt_{50}$ alloys which is not a random choice. Numerical results on spectral functions, coherent structure factors, dispersion curves and disordered induced FWHM's are presented. Finally the results are compared with the recent itinerant coherent potential approximation (ICPA) and also with experiments.

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