Anharmonic phonons in Cs

Henry R. Glyde; Roger Taylor

doi:10.1103/PhysRevB.25.6500

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Anharmonic phonons in Cs

Henry R. Glyde

Roger Taylor

Department of Physics, University of Ottawa, Ottawa, K1N 6N5 Canada

Division of Physics, National Research Council of Canada, Ottawa, K1A 0R6 Canada

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Phys. Rev. B 25, 6500 – Published 15 May, 1982

DOI: https://doi.org/10.1103/PhysRevB.25.6500

Abstract

The dynamic form factor $S (\vec{Q}, ω)$ and the phonon frequencies and lifetimes in Cs at $T = 5, 90$ , and 290 K are calculated. The anharmonic properties of Cs are apparently dominated by the cubic anharmonic term. Properties such as anharmonic interference in $S (\vec{Q}, ω)$ which is proportional to the cubic term are found to be relatively large and should be readily observable at high temperature. The most interesting phonons are the longitudinal phonons along the [100] direction at high $Q$ , which have the shortest lifetimes, and the $T_{1}$ phonons along [110] which are very sensitive to anharmonic contributions.

References (15)

M. L. Klein and T. R. Koehler, in Rare Gas Solids, edited by M. L. Klein and J. A. Venables (Academic, New York, 1976)
H. R. Glyde and M. G. Snoes, Phys. Rev. B 22, 6391 (1980)
W. J. L. Buyers and R. A. Cowley, Phys. Rev. 180, 755 (1969) H. R. Glyde, J. P. Hansen, and M. L. Klein, Phys. Rev. B 16, 3476 (1977)
R. A. Cowley, Adv. Phys. 31, 123 (1968) ibid.12, 421 (1963)
M. Rasolt and Roger Taylor, Phys. Rev. B 11, 2717 (1975)
L. Dagens, M. Rasolt, and Roger Taylor, Phys. Rev. B 11, 2726 (1975)
Roger Taylor and A. H. MacDonald, J. Phys. F 10, 2387 (1980)
T. H. K. Barron and M. L. Klein, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland, Amsterdam, 1974), Vol. I, Chap. 7
C. S. Barrett, Acta Crystallogr. 9, 671 (1956) D. L. Martin, Phys. Rev. 139, A150 (1965)
P. Choquard, The Anharmonic Crystal (Benjamin, New York, 1967) T. R. Koehler, Phys. Rev. Lett. 17, 89 (1966) H. R. Glyde and M. L. Klein, Crit. Rev. Solid State Sci. 2, 181 (1971)
L. van Hove, Phys. Rev. 95, 249 (1954) W. Marshall and S. W. Lovesey, Theory of Thermal Neutron Scattering (Oxford University, Oxford, 1971)
V. Ambegaokar, J. Conway, and G. Bayum, in Lattice Dynamics, edited by R. F. Wallis (Pergamon, New York, 1965), p. 261 W. J. L. Buyers and R. A. Cowley, J. Phys. C 2, 2262 (1969) H. R. Glyde, Can. J. Phys. 52, 2281 (1974)
B. N. Brockhouse and A. D. B. Woods, as quoted in H. R. Glyde and Roger Taylor, Phys. Rev. B 5, 1206 (1972)
D. L. Martin, Can. J. Phys. 48, 1327 (1970)
J. Meyer, G. Dolling, R. Scherm, and H. R. Glyde, J. Phys. F 6, 943 (1976)

[c1] M. L. Klein and T. R. Koehler, in Rare Gas Solids, edited by M. L. Klein and J. A. Venables (Academic, New York, 1976)

[c2] H. R. Glyde and M. G. Snoes, Phys. Rev. B 22, 6391 (1980)

[c3] W. J. L. Buyers and R. A. Cowley, Phys. Rev. 180, 755 (1969) H. R. Glyde, J. P. Hansen, and M. L. Klein, Phys. Rev. B 16, 3476 (1977)

[c4] R. A. Cowley, Adv. Phys. 31, 123 (1968) ibid.12, 421 (1963)

[c5] M. Rasolt and Roger Taylor, Phys. Rev. B 11, 2717 (1975)

[c6] L. Dagens, M. Rasolt, and Roger Taylor, Phys. Rev. B 11, 2726 (1975)

[c7] Roger Taylor and A. H. MacDonald, J. Phys. F 10, 2387 (1980)

[c8] T. H. K. Barron and M. L. Klein, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland, Amsterdam, 1974), Vol. I, Chap. 7

[c9] C. S. Barrett, Acta Crystallogr. 9, 671 (1956) D. L. Martin, Phys. Rev. 139, A150 (1965)

[c10] P. Choquard, The Anharmonic Crystal (Benjamin, New York, 1967) T. R. Koehler, Phys. Rev. Lett. 17, 89 (1966) H. R. Glyde and M. L. Klein, Crit. Rev. Solid State Sci. 2, 181 (1971)

[c11] L. van Hove, Phys. Rev. 95, 249 (1954) W. Marshall and S. W. Lovesey, Theory of Thermal Neutron Scattering (Oxford University, Oxford, 1971)

[c12] V. Ambegaokar, J. Conway, and G. Bayum, in Lattice Dynamics, edited by R. F. Wallis (Pergamon, New York, 1965), p. 261 W. J. L. Buyers and R. A. Cowley, J. Phys. C 2, 2262 (1969) H. R. Glyde, Can. J. Phys. 52, 2281 (1974)

[c13] B. N. Brockhouse and A. D. B. Woods, as quoted in H. R. Glyde and Roger Taylor, Phys. Rev. B 5, 1206 (1972)

[c14] D. L. Martin, Can. J. Phys. 48, 1327 (1970)

[c15] J. Meyer, G. Dolling, R. Scherm, and H. R. Glyde, J. Phys. F 6, 943 (1976)

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Anharmonic phonons in Cs

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