Abstract
A simple approach to the many-polaron problem for both weak and intermediate electron-phonon coupling and valid for densities much smaller than those typical of metals is presented. Within the model, the collective excitation spectrum is studied pointing out the presence of charge density wave instabilities in a finite range of the electron densities. Finally, preliminary results on the optical absorption of an interacting large polaron gas are presented.
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References
T. Timusk and D, B. Tanner, in Physical Properties of High Temperature Superconductors, edited by D. M. Ginsberg (World Scientific, Singapore, 1989) and references therein.
C. Taliani et al., High-TCSuperconductors, edited by A. Bianconi and A. Marcelli (Pergamon Press, Oxford), 1989.
J. T. Devreese, Polarons, in Encyclopedia of Applied Physics, edited by G. L. Trigg (New York: VCH, vol. 14, p. 383), and references therein, 1996.
G. De Filippis, V. Cataudella, G. Iadonisi, unpublished. 1998.
V. Cataudella, G. De Filippis, G. Iadonisi, Phys. Rev. B 60, 15163 (1998); Phys. Rev. B 62, 1496 (2000).
G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981), Chap. 6, p. 545.
H. Fröhlich et al., Philos. Mag. 41, 221 (1950); H. Fröhlich, in Polarons and Excitons, edited by C. G. Kuper and G. A. Whitfield (Oliver and Boyd, Edinburg, 1963), p. 1.
T. D. Lee, F. Low, and D. Pines, Phys. Rev. 90, 297 (1953).
V. Cataudella, G. Iadonisi, and D. Ninno, Physica Scripta. T39, 71 (1991); F. Bassani, M. Geddo, G. Iadonisi, and D. Ninno, Phys. Rev. B 43, 5296 (1991).
G. Iadonisi, M. Chiofalo, V. Cataudella, and D. Ninno, Phys. Rev B 48, 12966 (1993); G. Capone, V. Cataudella, G. Iadonisi, and D. Ninno, Il Nuovo Cimento 17D, 143 (1995).
W. van Haeringen, Phys. Rev. 137, 1902 (1965).
J. K. Lindhard, Dan. Vidensk. Selsk. Mat. Fys. Medd. 28, 8 (1954).
J. Hubbard, Proc. R. Soc. London Ser. A 243, 336 (1957).
D. Pines, Elementary Excitations in Solids (Benjamin, New York, 1963).
N.D. Mermin, Ann. Phys. 18 421, 454 (1962).
L. P. Kadanoff and P. C. Martin, Phys. Rev. 124, 670 (1961).
M. Grilli and C. Castellani, Phys. Rev. B 50, 16880 (1994); C. Castellani, C. Di Castro, and M. Grilli, J. Supercond. 9, 413 (1996).
R. P. Feynman, Phys. Rev. 97, 660 (1955).
T. D. Schultz, Phys. Rev. 116, 526 (1959); T. D. Schultz, in Polarons and Excitons, edited by C. G. Kuper and G. A. Whitfield (Oliver and Boyd, Edinburg, 1963), p. 71.
R. P. Feynman et al., Phys. Rev. B 127, 1004 (1962).
F. M. Peeters and J. T. Devreese, Phys. Rev. B 28, 6051 (1983).
P. Calvani et al., Phys. Rev. B 53, 2756 (1996).
S. Uchida et al., Phys. Rev. B 43, 7942 (1991).
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Cataudella, V., De Filippis, G., Iadonisi, G. (2002). CDW Instability and Infrared Absorption of an Interacting Large Polaron Gas. In: Bianconi, A., Saini, N.L. (eds) Stripes and Related Phenomena. Selected Topics in Superconductivity, vol 8. Springer, Boston, MA. https://doi.org/10.1007/0-306-47100-0_21
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DOI: https://doi.org/10.1007/0-306-47100-0_21
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