Abstract
A self-consistent theory of lattice dynamics is proposed on the basis of the thermodynamic double-time Green’s function method. The theory is applied for the investigation of the properties of a f.c.c. lattice with nearest neighbour central force interaction.
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References
M. Born andK. Huang, Dynamical Theory of Crystal Lattices, Oxford Univ. Press (Clarendon), New York and London, 1954.
P. Debye, Ann. Phys.,39, 789, 1912,
M. Born andT. Von Kármán, Phys. Zs.,13, 297, 1912.
A. A. Maradudin, E. W. Montroll, G. H. Weiss andI. P. Ipatova, Solid State Physics, Supplement 3. second ed. Theory of Lattice Dynamics in the Harmonic Approximation, Academic Press, New York and London, 1971.
G. Leibfried, in Handbuch der Physik, edited by S. Flügge, 2nd ed. Vol. 7, part 1, p. 104, Springer-Verlag, Berlin—Göttingen—Heidelberg, 1955.
G. Leibfried andW. Ludwig in Solid State Physics, edited by F. Seitz and D. Turnbull, Vol. 12, p. 275, Academic Press, New York and London, 1961.
R. A. Guyer, in Solid State Physics, edited by F. Seitz, D. Turnbull and H. Ehrenreich, Vol. 23, p. 413, Academic Press, New York and London, 1969.
F. W. De Wette andB. R. A. Nijboer, Phys. Lett.,18, 19, 1965.
M. L. Klein, G. K. Horton andJ. L. Feldman, Bull. Am. Phys. Soc.13, 689, 1968; Phys. Rev.184, 968, 1969.J. L. Feldman, M. L, Klein andG. K. Horton, Phys Rev.,184, 910, 1969.
M. L. Klein, V. V. Goldman andC. K. Horton, J. Phys. Chem. of Solids,31, 2441, 1970.M. L. Klein andW. G. Hoover, Phys. Rev.,B4, 537, 539, 1971.
M. Born, in Festschrift zur Feier des zweihundertjährigen Bestehens der Akademie der Wissenschaften in Göttingen: I. Matematisch-physikalische Klasse, Springer-Verlag, Berlin—Göttingen—Heidelberg, 1951.
N. R. Werthamer, Am. J. Phys.,37, 763, 1969; Phys. Rev.,B1, 572, 1970.
Ph. F. Choquard, The Anharmonic Crystals, W. A. Benjamin Inc., New York, 1967.
N. M. Plakida andT. Siklós, Report JINR P4—3449, Dubna, 1967; Acta Phys. Hung.,25, 17, 1968.
N. M. Plakida andT. Siklós, Report JINR P4—4032, Dubna, 1968; phys. stat. sol.,33, 103, 1969.
N. M. Plakida, Teor. i Mat. Fiz.,12, 135, 1972.
N. M. Plakida, Teor. i Mat. Fiz.,5, 147, 1970.
N. M. Plakida andT. Siklós, Phys. Lett.,26A, 342, 1968; Acta Phys. Hung.,26, 387, 1969; phys. stat. sol.,33, 113, 1969;T. Siklós, Acta Phys. Hung.,30, 181, 301, 1971;T. Siklós andV. L. Aksienov, Acta Phys. Hung.,32, 43, 1972.
N. M. Plakida, Fiz. tverd. tela,11, 700, 1969.
T. Siklós, Acta Phys. Hung.,30, 193, 301, 1971.
N. M. Plakida andT. Siklós, phys. stat. sol.,39, 171, 1970.
T. Siklós andV. L. Aksienov, Report JINR P4—5826, Dubna, 1971; phys. stat. sol., (b),50, 171, 1972; Acta Phys. Hung.,31, 335, 345, 1972.
M. Born, J. Chem. Phys.,7, 591, 1939;I. P. Bazarov, Fiz. tverd. tela,11, 840, 1969.
A. Michels andC. Prins, Physica (Utrecht),28, 101, 1962.
N. M. Plakida andV. L. Aksienov, Fiz. tverd tela,15, 2575, 1973.
N. M. Plakida andT. Siklós, Report JINR P4—4575, Dubna, 1969.
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Siklós, T. Self-consistent dynamical theory of anharmonic crystals. Acta Physica 34, 327–336 (1973). https://doi.org/10.1007/BF03158192
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DOI: https://doi.org/10.1007/BF03158192