Abstract
Quantum solids are crystals in which, even at T = 0K, the atoms of the ordered array (or molecules) undergo large rms displacements or zero-point motion (ZPM) about their equilibrium lattice sites1. The ZPM in these crystals, in comparison to normal crystals, is not small relative to the nearest neighbor distance, RO. The dynamical aspects of ordinary crystals can be treated classically or quantum mechanically in the quasi-harmonic approximation. Quantum crystals must be treated quantum mechanically because the zero-point energy is comparable to the static lattice energy. This in itself would present no difficulty if potentials were harmonic, however real potentials are highly anharmonic and for quantum crystals the usual per turbative treatment of anharmonicity breaks down. New theoretical approaches which have been developed in the last decade to handle the dynamical problems will be discussed in the first section.
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References
A number of excellent reviews on quantum solids exist, for example: R.A. Guyer “The Physics of Quantum Solids”, Sol.State Physics, Vol.23, Academic Press New York 1969;
H.R. Iyde “Solid Helium” in Rare Gas Solids ed. M.L. Klein and J.A. Venables, Academic Press, New York 1976;
also see the articles by H. Horner and by T. Koehler in “Dynamical Properties of Solids” Vols. I and II, G.K. Horton and A.A. Maradudin, eds., North Holland Publ. Co. Amsterdam, 1974.
For a review of solid hydrogen see I.F. Silvera “The Solid Hydrogens: Properties and Excitations” Proceedings of Low Temp. Conf. 14, Vol.5, North Holland Publ. Co., Amsterdam 1975.
Data for helium is from R.D. Etters and R.L. Danilowicz, Phys.Rev. A, 16 98(1973);
for rare gas solids and H2 and D2, V. Goldman, Phys.Rev. 174, 1041 (1968) and private communication.
M. Nielsen, Phys.Rev. B7, 1626 (1973).
See for example V.V. Goldman, G.K. Horton and M.L. Klein, Phys.Rev. Lett. 24, 1424 (1970).
H. Horner, J. Low Temp. Phys. 8, 511 (1972).
See for example A.B. Harris, Phys.Rev. B1, 1881 (1970) and references therein.
T. Nakamura, Prog.Theor. Phys. (Kyoto) 14, 135 (1955).
J.W. Stewart, J.Phys.Chem.Sol. 1, 146 (1956).
See for example, R.G. Gordon, Adv.Mag. Resonance 3, 1 (1968).
R.E. Slusher and C.M. Surko, Phys.Rev. B13, 1086 (1976);
C.M. Surko and R.E. Slusher, Phys.Rev. B13, (1976);p.1095.
See for example G.W. Chantry, “Submillimetre spectroscopy”, Academic Press, New York, 1971.
I.F. Silvera, Rev.Sci. Inst. 41, 1592 (1970).
I.F. Silvera, W.N. Hardy, and J.P. McTague, Phys.Rev. B5, 1578, (1972).
P.A. Fleury and J.P. McTague, Phys.Rev.Lett. 31, 914 (1973).
N.R. Werthamer, Phys.Rev. 185, 348 (1969).
D.W. Oxtoby and W.M. Gelbart, J.Mol.Phys., 29, 1569 (1975).
S.H. Walmsley and J.A. Pople, Mol.Phys. 8, 345 (1964).
W.N. Hardy, I.F. Silvera and J.P. McTague, Phys.Rev. 12, 753 (1975).
See for example, J.C. Raich and R.D. Etters, Phys.Rev. 168, 425 (1968).
C.F. Coll, III and A.B. Harris, Phys.Rev. B4, 2781 (1971).
A.J. Berlinsky and A.B. Harris, Phys.Rev. B4, 2808 (1971).
C.F. Coll and A.B. Harris, Phys.Rev. B2, 1176 (1970).
P.J. Berkhout and I.F. Silvera, Comm. on Physics 2, 109 (1977).
W.N. Hardy, I.F. Silvera, K.N. Klump and O. Schnepp, Phys.Rev. Lett. 21, 291 (1968).
R. Jochemsen, A.J. Berlinsky, V.V.Goldman and I.F. Silvera, submitted for publication.
O. Schnepp, J.Chem.Phys. 46, 3983 (1967).
M.E. Rose, “Elementary Theory of Angular Momentum”, John Wiley and Sons, New York 1957.
R. Jochemsen, F. Verspaandonk, A.J. Berlinsky and I.F. Silvera, to be published.
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© 1978 Plenum Press, New York
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Silvera, I.F. (1978). Optical Response of Quantum Crystals. In: Halley, J.W. (eds) Correlation Functions and Quasiparticle Interactions in Condensed Matter. NATO Advanced Study Institutes Series, vol 35. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3360-9_23
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DOI: https://doi.org/10.1007/978-1-4684-3360-9_23
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