Abstract
In the previous article we developed a microscopic theory of the CDW transition and, in particular, succeeded in interpreting in an unified manner various properties of 1T-TiSe2 related to the CDW transition, such as the lattice instability and the lattice dynamics in the normal phase, and the lattice distortion and the electronic band structure in the CDW phase. In discussing the lattice instability and the lattice dynamics, however, only quadratic terms in the expansion of the free energy with respect to ionic displacements were taken into consideration, the anharmonic terms being neglected. To discuss physical properties at finite temperatures especially above the transition temperature, the effects of mode—mode coupling due to anharmonic interactions, which we call lattice fluctuation effects, should be taken into account. Also, as a result of such fluctuation effects we can expect the transition temperature to be lower than that calculated using the so-called random phase approximation (RPA). The estimation of the transition temperature given in the previous article was made using the RPA.
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References and Notes
L. D. Landau and E. M. Lifshitz, Statistical Physics, Pergamon Press, London, 1959.
P. A. Lee, T. M. Rice and P. W. Anderson, Phys. Rev. Lett. 31, 462 (1973).
D. J. Scalapino, M. Sears and R. A. Ferrell, Phys. Rev. B6, 3409 (1972).
D. C. Johnston, K. Maki and G. Gruner, Solid State Commun. 53, 5 (1985).
Y. Suzumura and Y. Kurihara, Prog. Theor. Phys. 53, 1233 (1975).
W. L. McMillan, Phys. Rev. B16, 643 (1977).
C. M. Varma and A. L. Simons, Phys. Rev. Lett. 51, 138 (1983).
J. E. Inglesfield, J. Phys. C 13, 17 (1980).
For a detailed description of the thermal Green’s function method, see, for example, A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinski, Quantum Field Theoretical Methods in Statistical Physics, Pergamon Press, Oxford, 1965, and A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems, McGraw-Hill, New York, 1971.
T. H. K. Barron and M. L. Klein in Dynamical Properties of Solids, G. K. Horton and A. A. Maradudin eds., North-Holland, Amsterdam, 1979, Vol. III in, Chap. 7.
Here we have assumed for simplicity that |g(q)| has a maximum value at q = Q. This condition is fulfilled in lT-TiSe2 and also in the simple 1D system considered in Section 2 of the previous article. Generally speaking, however, it is not necessary for |g(q)| to assume a maximum value at q = Q.
G. M. Eliashberg, Sov. Phys.-JETP 14, 886 (1962).
K. C. Hass, B. Velicky and H. Ehrenreich, Phys. Rev. B29, 3697 (1984).
L. F. Mattheiss, Phys. Rev. B8, 3719 (1973).
F. J. Di Salvo, D. E. Moncton and J. V. Waszczak, Phys. Rev. B14, 4321 (1976).
G. Wexler and A. M. Woolley, J. Phys. C 9, 1185 (1976).
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© 1986 D. Reidel Publishing Company
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Suzuki, N., Motizuki, K. (1986). Microscopic Theory of Effects of Lattice Fluctuation on Structural Phase Transitions. In: Motizuki, K. (eds) Structural Phase Transitions in Layered Transition Metal Compounds. Physics and Chemistry of Materials with Low-Dimensional Structures, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4576-0_2
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DOI: https://doi.org/10.1007/978-94-009-4576-0_2
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