THEORY OF TRANSITIONS FROM LARGE TO NEARLY-SMALL POLARONS, WITH APPLICATION TO ZR-DOPED SUPERCONDUCTING SRTIO3

被引:50
作者
EAGLES, DM
机构
[1] NASA Electronics Research Center, Cambridge
[2] London N. 13, 579, Green Lanes
来源
PHYSICAL REVIEW | 1969年 / 181卷 / 03期
基金
美国国家航空航天局;
关键词
D O I
10.1103/PhysRev.181.1278
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 SrTiO3 using small-polaron theory, it is shown that the rate of mass rise deducible from superconductivity data on Zr-doped SrTiO3 can be explained by the theory if the bare transverse mass mbt is taken to be mbt 0.6me, where me 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. © 1969 The American Physical Society.
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页码:1278 / &
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