Lattice Dynamics of Silicon
DOI:
https://doi.org/10.48165/Keywords:
Extended valence force field (EVFF) model, phonon distribution function, Debye characteristic temperature, phenomenological modelsAbstract
A phenomenological lattice dynamical model has been developed for the zinc-blende and diamond structure crystals. The model developed in the present work is an extended valence force field (EVFF) model which takes into account the short range valence force field interaction between bonded atoms and central interaction between non-bonded atoms. The model also incorporates the long-range coulombic interaction for zinc-blende crystals which are partially ionic in bonding. EVFF model is applied to lattice vibration of silicon to obtain the phonon dispersion curves, elastic constants, bulk modulus, Debye characteristic temperatures and phonon distribution function for silicon. The theoretical values are compared with the experimental results with satisfactory agreement.
References
Giannozzi, P. and de Gironcoli, S. (1991). Phys. Rev. B43, 7231
Giannozzi, P. and de Gironcoli, S. (1991).
Wei, S. and Chou, M. Y. (1994).
Phys. Rev. B50, 2221
S. Shields, J. A. and Wolfe, J. P. (1991). Phys. Rev.B44, 3001
Tamura, S. Shields, J. A. and Wolfe, J. P.
Yin, M. T. and Cohen, M. L. (1982). Phys. Rev. B26, 3259 4. Yin, M. T. and Cohen, M. L. (1982).
Fleszar, A. and Resta, R. (1986).
Phys. Rev. B34, 7140
Tripathi, B. B. and Gupta, H. C. (1973). J. Phys. Chem. Solids. 34, 1867
Bose, G. Tripathi, B. B. and Gupta, H. C. (1973).
, ed. Seitz, F. and Turnbull, D. (Academic Press Inc, New
Solid State physics, ed. Seitz, F. and Turnbull, D. (Academic Press Inc, New
De Launay, J. (1956). Solid State physics
York). 2, 276
Gazis, D. C. and Wallis, R. F. (1964). Phys. Rev. 134A, 1486
Clark, B. C. Gazis, D. C. and Wallis, R. F. (1964).
Zdetsis, A. D. and Wang, C. S. (1979). Phys. Rev. B19, 2999
Zdetsis, A. D. and Wang, C. S. (1979).
Born, M. and Von Karman, T. (1912). Physik, Z13, 297
Born, M. and Von Karman, T. (1912).
Zhao, H. and Freund, J. B. (2005). J. Appl. Phys. 97, 024903
Zhao, H. and Freund, J. B. (2005).
Powell, D. Migliorato, M. A. and Cullis, A. G. (2006). Physica. E32, 270
Powell, D. Migliorato, M. A. and
Jakata, K. and Every, A. G. (2008). Phys. Rev. B77, 174301
Jakata, K. and Every, A. G. (2008).
Maranganti, R. and Sharma, P. (2007). Phys. Rev. Letters. 98, 195504
Maranganti, R. and Sharma, P. (2007).
Phys. 101, 093513
Passler, R. (2007) Jour. of Appl. Phys
.15, 13705
Wang, H.Y. Cao, J. Huang, X. Y. and Huang, J. M. (2012). Cond. Matt. Phys.15, 13705
Wang, H.Y. Cao, J. Huang, X. Y. and Huang, J. M. (2012).
Kumari, N. and Mishra, S. K. (2015). Res. Jour. of Phys. Sci. 3(5), 1
Kumari, N. and Mishra, S. K. (2015).
Urey, H. C. and Bradley, C. A. (1931). Phys. Rev. 38, 1969
Urey, H. C. and Bradley, C. A. (1931).
Wilson (Jr), E. B. Decius, J. C. and Cross, P. C. (1955). Molecular Vibrations, (McGraw Hill Book Company, Inc, New York), p.54
Singh, T. N. and Roy, B. N. (1976). Journ. Sci. Rev. B H U, XXVI, 1
Dolling, G. Inelastic scattering of neutrons in solids and liquids, (IAEA, Vienna), 2 (1963) 37, 1(1965)249.
Palevsky, H. Hughes, D. J. Kley, W. and Tunkelo, E. (1959). Phy. Rev. Lett. 2, 258 23. Parker, J. H. Feldman, D. W. and Askin, M. (1967). Phys. Rev. 155, 712
Angress, J. F. Goodwin, A. R. and Smith, S. D. (1968) Proc. Roy. Soc. (London). A308, 111 25. Balkanski and Nazarewicz (1964). Lattice Dynamics, ed Wallis, R. F. (Pergamon Press,New York), p.345.
Temple, P. A. and Hathaway, C. E. (1973). Phy. Rev.B7, 3685
Singh, A. and Dayal, B. (1970). Journ. Phys. C, Solid State Phys. 3, 2037
Solbring, A. K. and Dayal, B. (1970). Phys. Stat. Solidi, 38, 141
Tubino, R. Piseri, L. andZerbi, G. (1972). J. Chem. Phys. 56, 1022,
Soma, T. andMarita, A. (1972). Journ. Phys. Soc. Japan, 32, 38
Sokel, R. and Harrison, W. A. (1976). Phys. Rev. Letters. 36(61), 212
Saha, M. N. and Srivastava, B. N.(1958) in “A Treatise on Heat”,p.875
Flubacher, P. Lead better, A. J. and Morrison, J. A. (1959) Phil. Mag. 4, 273
Baraff, G. A. Kane, E. O. and Schluter, M. (1980). Phy. Rev. B21, 5662
Chadi, D. J. and Martin, R. M. (1976). Soli. Stat. Comm. 19, 643
