Abstract
The transfer-integral (TI) method, developed especially for hard-core potentials, is tested with anx 2 + α3x3 + α4x4 potential by a comparison with other methods: In the harmonic approximation the improvement of the TI method over the self-consistent phonon (SCP) method is about as great as that of the SCP method over the random phase approximation (RPA).
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References
S. B. Trickey and N. Nuttall,J. Low Temp. Phys. 1, 169 (1969).
F. G. Mertens,J. Low Temp. Phys. 21, 75 (1975).
F. G. Mertens and W. Biem,J. Low Temp. Phys. 24, 379 (1976).
T. R. Koehler, inLattice Dynamics, A. A. Marududin and G. K. Horton, eds. (North-Holland Amsterdam, 1974); H. Horner, inLattice Dynamics, A. A. Maradudin and G. K. Horton, eds. (North-Holland, Amsterdam, 1974); H. R. Glyde, inRare Gas Solids, M. K. Klein and J. A. Venables, eds. (Academic Press, New York, 1976); and references cited therein.
F. G. Mertens,J. Low Temp. Phys. 22, 653 (1976).
F. G. Mertens,J. Low Temp. Phys. 25, 615 (1976).
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Mertens, F.G. Self-consistent-phonon, random phase, and transfer-integral methods for a linear chain with anharmonic potential. J Low Temp Phys 27, 579–591 (1977). https://doi.org/10.1007/BF00655289
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DOI: https://doi.org/10.1007/BF00655289