Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Theory of Transitions from Large to Nearly-Small Polarons, with Application to Zr-Doped Superconducting SrTi O 3

Theory of Transitions from Large to Nearly-Small Polarons, with Application to Zr-Doped... Expressions for the matrix elements of the Hamiltonian and overlap integrals between large-polaron and nearly-small-polaron states are given in terms of various large- and nearly-small-polaron parameters. The dependence of the mass of the ground state on the bare-electron mass in a region of transition between large- and nearly-small-polaron states is found. Parameters of the theory are evaluated using the continuum-polarization model of electron-phonon interactions. Modifications due to anisotropy and the presence of many longitudinal polar modes of lattice vibration are discussed briefly. Making use of a recent analysis by Reik of free-carrier optical-absorption results in SrTi O 3 using small-polaron theory, it is shown that the rate of mass rise deducible from superconductivity data on Zr-doped SrTi O 3 can be explained by the theory if the bare transverse mass m bt is taken to be m bt ≃ 0.6 m e , where m e is the free-electron mass, and if small-polaron binding energies are assumed to be larger by a factor of about 1.4 than their values in the continuum-polarization model. The dependence on Zr concentration of the ratio of phonon-induced to Coulomb intervalley electron-electron interactions deducible from the superconductivity data is discussed within the framework of the model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Theory of Transitions from Large to Nearly-Small Polarons, with Application to Zr-Doped Superconducting SrTi O 3

Eagles, D. M
Physical Review , Volume 181 (3) – May 15, 1969
Download PDF
13 pages

Loading next page...
 
/lp/american-physical-society-aps/theory-of-transitions-from-large-to-nearly-small-polarons-with-L5lyRyPLiC

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
American Physical Society (APS)
Copyright
Copyright © 1969 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.181.1278
Publisher site
See Article on Publisher Site

Abstract

Expressions for the matrix elements of the Hamiltonian and overlap integrals between large-polaron and nearly-small-polaron states are given in terms of various large- and nearly-small-polaron parameters. The dependence of the mass of the ground state on the bare-electron mass in a region of transition between large- and nearly-small-polaron states is found. Parameters of the theory are evaluated using the continuum-polarization model of electron-phonon interactions. Modifications due to anisotropy and the presence of many longitudinal polar modes of lattice vibration are discussed briefly. Making use of a recent analysis by Reik of free-carrier optical-absorption results in SrTi O 3 using small-polaron theory, it is shown that the rate of mass rise deducible from superconductivity data on Zr-doped SrTi O 3 can be explained by the theory if the bare transverse mass m bt is taken to be m bt ≃ 0.6 m e , where m e is the free-electron mass, and if small-polaron binding energies are assumed to be larger by a factor of about 1.4 than their values in the continuum-polarization model. The dependence on Zr concentration of the ratio of phonon-induced to Coulomb intervalley electron-electron interactions deducible from the superconductivity data is discussed within the framework of the model.

Journal

Physical Review – American Physical Society (APS)

Published: May 15, 1969

There are no references for this article.