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Specific features of the transformation of local levels into an impurity band of Ag1−p Al p disordered solid solutions

  • Low-Temperature Solid-State Physics
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Abstract

The phonon densities of states in disordered solid solutions of aluminum in silver are determined using the Jacobi matrix method. The transformation of discrete vibrational levels (local vibrational modes) into an impurity band with increasing concentration of impurity atoms is investigated. The formation of discrete vibrational levels is associated with the presence of individual aluminum impurity atoms in the lattice. It is demonstrated that, at relatively low (approximately 5–15%) aluminum concentrations, the broadening of the main local level is accompanied by the appearance of additional resonance peaks, which contain important information on the interatomic interactions in these solid solutions.

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References

  1. I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 12, 156 (1942); in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 39 [in Russian].

    Google Scholar 

  2. I. M. Lifshitz, Dokl. Akad. Nauk SSSR 48, 83 (1945); in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 62 [in Russian].

    Google Scholar 

  3. I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 17, 1076 (1948); in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 73 [in Russian].

    Google Scholar 

  4. I. M. Lifshitz, Nuovo Cimento Suppl. 3, 716 (1956); in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 106 [in Russian].

    Google Scholar 

  5. A. M. Kosevich, Theory of Crystal Lattice (Physical Mechanics of a Crystal) (Vishcha Shkola, Khar’kov, 1988) [in Russian].

    Google Scholar 

  6. A. A. Maradudin, Solid State Phys. 18, 273 (1966) [A. A. Maradudin, Defects and Vibrational Spectrum of Crystals (Mir, Moscow, 1968)].

    Google Scholar 

  7. G. Leibfried and N. Brauer, Point Defects in Metals: Introduction to the Theory (Springer, Heidelberg, 1978; Mir, Moscow, 1981).

    Google Scholar 

  8. Yu. G. Naĭdyuk, N. A. Chernoplekov, Yu. I. Shitikov, et al., Zh. Éksp. Teor. Fiz. 83, 1177 (1982) [Sov. Phys. JETP 56, 671 (1982)].

    Google Scholar 

  9. Yu. G. Naĭdyuk, I. K. Yanson, A. A. Lysykh, and Yu. L. Shitikov, Fiz. Tverd. Tela (Leningrad) 26, 2734 (1984) [Sov. Phys. Solid State 26, 1656 (1984)].

    Google Scholar 

  10. A. V. Kotlyar and S. B. Feodosyev, Fiz. Nizk. Temp. 32, 343 (2006).

    Google Scholar 

  11. I. M. Lifshitz and A. M. Kosevich, Rep. Prog. Phys. 29, 217 (1966); I. M. Lifshitz, in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 142 [in Russian].

    Article  ADS  Google Scholar 

  12. I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 44, 1723 (1963) [Sov. Phys. JETP 17, 1159 (1963)].

    Google Scholar 

  13. I. M. Lifshitz, Usp. Fiz. Nauk 83, 617 (1964) [Sov. Phys. Usp. 7, 571 (1965)]; in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 197 [in Russian].

    Google Scholar 

  14. I. M. Lifshitz, S. A. Grdeskul, and L. A. Pastur, J. Stat. Phys. 38, 37 (1985); in Selected Works (Nauka, Moscow, 1987), Vol. 1, p. 177 [in Russian].

    Article  Google Scholar 

  15. I. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Nauka, Moscow, 1982; Wiley, New York, 1988).

    Google Scholar 

  16. L. A. Falkovsky, Pis’ma Zh. Éksp. Teor. Fiz. 71, 225 (2000) [JETP Lett. 71, 155 (2000)].

    Google Scholar 

  17. L. A. Falkovsky, Zh. Éksp. Teor. Fiz. 117, 735 (2000) [JETP 90, 639 (2000)].

    Google Scholar 

  18. V. I. Peresada, Doctoral Dissertation in Physics and Mathematics (Physicotechnical Inst. of Low Temperatures, Acad. Sci. Ukr. SSR, Khar’kov, 1972).

    Google Scholar 

  19. V. I. Peresada, in Physics of Condensed State (FTINT Akad. Nauk Ukr. SSR, Khar’kov, 1968), p. 172 [in Russian].

    Google Scholar 

  20. V. I. Peresada, V. N. Afanas’ev, and V. S. Borovikov, Fiz. Nizk. Temp. 1, 461 (1975) [Sov. J. Low Temp. Phys. 1, 227 (1975)].

    Google Scholar 

  21. R. Haydock, Solid State Phys. 35, 129 (1980).

    Google Scholar 

  22. S. B. Feodosyev, I. A. Gospodarev, V. O. Kruglov, and E. V. Manzhelii, J. Low Temp. Phys. 139, 651 (2005).

    Article  Google Scholar 

  23. P. Lécuyer, Commun. ACM 31, 742 (1988).

    Article  Google Scholar 

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Original Russian Text © A.M. Kosevich, I.A. Gospodarev, V.I. Grishaev, A.V. Kotlyar, V.O. Kruglov, E.V. Manzheliĭ, E.S. Syrkin, S.B. Feodosyev, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 1, pp. 11–18.

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Kosevich, A.M., Gospodarev, I.A., Grishaev, V.I. et al. Specific features of the transformation of local levels into an impurity band of Ag1−p Al p disordered solid solutions. J. Exp. Theor. Phys. 105, 4–11 (2007). https://doi.org/10.1134/S1063776107070023

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  • DOI: https://doi.org/10.1134/S1063776107070023

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