Journal ArticleDOI
Slow Electrons in Polar Crystals: Self-Energy, Mass, and Mobility
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TLDR
In this article, a new theory based on the Feynman model is developed in which the Boltzmann equation is used with resonance scattering considered as the fundamental scattering process, and it is concluded that the alkali halides, at least, may be in the border region for the validity of this approximation.Abstract:
The parameters for the Feynman model of a polaron are evaluated numerically for various values of the electron lattice interaction $\ensuremath{\alpha}$, in the usual idealization of the problem of a slow electron in a polar crystal. The self-energy and effective mass thus obtained are compared with earlier polaron theories, indicating the superiority of the Feynman model for a wide range of $\ensuremath{\alpha}$. The polaron size and the effect of the continuum approximation are estimated, and it is concluded that the alkali halides, at least, may be in the border region for the validity of this approximation. The problem of calculating polaron mobility as determined by scattering with longitudinal optical mode phonons is analyzed and previous theories are critically reviewed. A new theory based on the Feynman model is developed in which the Boltzmann equation is used with resonance scattering considered as the fundamental scattering process. A comparison with previous theories shows some improvements and stresses still doubtful points. A comparison with various experiments suggests the possible inadequacy of the usual idealization.read more
Citations
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Journal ArticleDOI
Large polarons in lead halide perovskites
Kiyoshi Miyata,Daniele Meggiolaro,Daniele Meggiolaro,M. Tuan Trinh,Prakriti P. Joshi,Edoardo Mosconi,Edoardo Mosconi,Skyler C. Jones,Filippo De Angelis,Filippo De Angelis,Xiaoyang Zhu +10 more
TL;DR: It is found that large polaron forms predominantly from the deformation of the PbBr3− frameworks, irrespective of the cation type, and there are likely no mechanistic limitations in using all-inorganic or mixed-cation lead halide perovskites to overcome instability problems and to tune the balance between charge carrier protection and mobility.
Book ChapterDOI
Elementary Theory of the Optical Properties of Solids
TL;DR: In this article, an elementary theory of the optical properties of solids is described, with emphasis on the detailed development of simple models, and the results are expressed in numerical form and the use of meter-kilogram-second units throughout.
Journal ArticleDOI
Effect of oxygen-deficiency on electrical transport properties of tungsten trioxide crystals.
James M. Berak,M.J. Sienko +1 more
TL;DR: In this article, the authors investigated the thermoelectric power behavior of tungsten trioxide in the presence of oxygen deficiency and showed that the defect unit is not the oxygen vacancy but the Anderson-Hyde disk of shear.
Journal ArticleDOI
Electron transport in TiO 2 probed by THz time-domain spectroscopy
TL;DR: In this paper, electron-phonon coupling is described by Feynman polaron theory within the intermediate coupling regime and allowed for a determination of electron mobility in the Rutile phase.
Journal ArticleDOI
Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?
B. Gerlach,Hartmut Löwen +1 more
TL;DR: In this article, it was shown that the phonon-induced self-trapping transition is only induced by phonons, and not induced by a large class of generalized Fr\"ohlich models.