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Green's functions for body-centred cubic lattices

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The presented paper contains the tables of Green's functions for bcc lattices for outband frequencies 1·0≦ω/ω m ≦1·6. The central-force model is used, the interaction with 8 nearest and 6 next-nearest neighbours is considered and the number of different Green's functions is fairly decreased by symmetry. Numerical difficulties arising by computing Green's functions are discussed. The derivation of symmetry relations for a dynamical matrix is generalized for the matrix of Green's functions.

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References

  1. Litzman O., Rózsa P.: Phys. stat. sol.2 (1962), 28.

    Google Scholar 

  2. Maradudin A. A., Montroll E. W., Weiss G. H.: Solid State Physics, Suppl.3. (Ed. by F. Seitz, and D. Turnbull.) Academic Press, New York 1963, 148.

    Google Scholar 

  3. Gantmakher F. R., Krejn M. G.: Oscilacionnye matricy i jadra i malye kolebanija mekhaničeskikh sistem (Oscillation Matrices and Nuclei and Small Vibrations of Mechanical Systems). Gosudarstvennoe izdatel'stvo tekhniko-teoretičeskoj literatury, Moskva-Leningrad 1950.

    Google Scholar 

  4. Maradudin A. A., Montroll E. W., Weiss G. H., Herman R., Milnes H. W.: Mém. Acad. Roy. Belg., Cl. Sci., Coll. 4°, Ser. II (1960), No 7, 14.

    Google Scholar 

  5. Kagle B. J., Maradudin A. A.: Westinghouse Research Memo 64-929-442-M1 (unpublished).

  6. Kunc K.: Czech. J. Phys.B 15 (1965), 883.

    Google Scholar 

  7. Wilson E. B., Decius J. C., Cross P. C.: Molecular Vibrations. McGraw-Hill Book Co., New York-London-Toronto 1955.

    Google Scholar 

  8. Leibfried G.: Kristallphysik. (Handbuch der Physik, hrsg. von S. Flügge; Band VII, Teil 1.) Springer-Verlag, Berlin-Göttingen-Heidelberg 1955, 147–151.

    Google Scholar 

  9. Nikolaeva M. V.: Trudy Matematičeskogo instituta imeni V. A. Steklova28 (1949), 26.

    Google Scholar 

  10. Launay J. de: Solid State Physics, Vol.2. (Ed. by F. Seitz, and D. Turnbull.) Academic Press, New York 1956, 249.

    Google Scholar 

  11. Kunc K.: Phys. stat. sol.15 (1966), 683.

    Google Scholar 

  12. Clark B. C., Gazis D. C., Wallis R. F.: Phys. Rev.A 134 (1964), 1486.

    Google Scholar 

  13. Maradudin A. A., Kagle B. J.: Westinghouse Research Laboratories Paper 65-9F5-442-P3 (unpublished).

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Kunc, K., Mikloško, J. Green's functions for body-centred cubic lattices. Czech J Phys 17, 839–847 (1967). https://doi.org/10.1007/BF01691635

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