Abstract
A model of electrons coupled to the damped lattice-oscillators is made the basis for calculation of the small polaron conductivity in the infrared frequency range. The inclusion of damping prevents the occurrence of singularities. Under the assumption of a weak damping a closed formula for the real part of conductivity is deduced which unifies the low-temperature as well as the high-temperature approximations.
Similar content being viewed by others
References
Holstein, T.: Ann. Phys.8, 343 (1959)
Gerthsen, P., Kauer, E., Reik, H.G.: Festkörperprobleme. Vol. 5, p. 1. Braunschweig: Vieweg 1966
Reik, H.G., Heese, D.: J. Phys. Chem. Solids28, 581 (1967)
Loos, J.: Phys. Status Solidi (b)128, 797 (1985)
Ihle, D.: Z. Phys. B-Condensed Matter58, 91 (1985)
Holstein, T., Friedman, L.: Phys. Rev.165, 1019 (1968)
Doniach, S., Sondheimer, E.H.: Green's functions for solid state physicists. Reading: Benjamin 1974
Zubarev, D.N.: Nonequilibrium statistical thermodynamics. New York: Plenum Press 1974
Eagles, D.M.: Phys. Rev.130, 1381 (1963)
Emin, D.: Adv. Phys.24, 305 (1975)
Reissland, J.A.: The physics of phonons. London: Wiley 1973
Ford, G.W., Kac, M., Mazur, P.: J. Math. Phys.6, 504 (1965)
Ullersma, P.: Physica32, 27 (1966)
Riseborough, P.S., Hänggi, P., Weiss, U.: Phys. Rev. A31, 471 (1985)
Grabert, H., Weiss, U., Talkner, P.: Z. Phys. B-Condensed Matter55, 87 (1984)
Loos, J.: Z. Phys. B-Condensed Matter65, 107 (1986)
Huang, K.: Sci. Sinica24, 27 (1981)
Merzbacher, E.: Quantum mechanics. New York: Wiley 1970)
Bonch-Bruevich, V.L.: In: Proceedings of the International School of Physics “Enrico Fermi” Course 34. Tauc, J. (ed.), p. 331. New York, London: Academic Press 1966
Feynman, R.P.: Phys. Rev.84, 108 (1951)
Kubo, R.: In: Fluctuation, relaxation and resonance in magnetic systems. ter Haar, D. (ed.), p. 23. Edinburgh: Oliver and Boyd 1962
Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions. New York: Dover 1965
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Loos, J. New approach to the small polaron conductivity problem. Z. Physik B - Condensed Matter 71, 161–170 (1988). https://doi.org/10.1007/BF01312785
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01312785