Crossover of large to small radius polaron in ionic crystals

doi:10.1088/1674-1056/25/11/117104

中国物理B ›› 2016, Vol. 25 ›› Issue (11): 117104-117104.doi: 10.1088/1674-1056/25/11/117104

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Crossover of large to small radius polaron in ionic crystals

M I Umo

Department of Physics, University of Calabar, PMB 1115, Nigeria

收稿日期:2016-05-09 修回日期:2016-06-26 出版日期:2016-11-05 发布日期:2016-11-05
通讯作者: M I Umo E-mail:umohphy@yahoo.co.uk

Crossover of large to small radius polaron in ionic crystals

M I Umo

Department of Physics, University of Calabar, PMB 1115, Nigeria

Received:2016-05-09 Revised:2016-06-26 Online:2016-11-05 Published:2016-11-05
Contact: M I Umo E-mail:umohphy@yahoo.co.uk

摘要/Abstract

摘要：

The crossover of large to small radius polaron is studied in terms of the inverse-relaxation time and temperature. It is found that the small radius polaron exists at higher temperature than the large radius polaron. A formula which relates the inverse-relaxation time to the ratio of arbitrary temperature and Debye temperature of the crystal is derived. The polaron crossover temperatures in NaCl and KBr are found from plotted graphs. The straight line emerging at the Debye temperature T_D of a graph reflects the increase of the inverse relaxation time for increasing temperature up to the collapse of the small radius polaron. The relationship between the small and large radius polarons is found and known ratios of the effective and the bare masses of the electrons for the two substances are used to validate our results. The small radius polaron's mass is later compared with the mass obtained from the hopping formula and is found to be approximately equal. Finally, we point out that the crossover temperature is material-specific since it depends on the Debye and the effective dielectric function.

关键词: large radius polaron, small radius polaron, inverse relaxation time, electron-phonon interaction

Abstract:

Key words: large radius polaron, small radius polaron, inverse relaxation time, electron-phonon interaction

中图分类号: (Polarons and electron-phonon interactions)

71.38.-k

71.38.Fp (Large or Fr?hlich polarons) 71.38.Ht (Self-trapped or small polarons)

M I Umo. Crossover of large to small radius polaron in ionic crystals[J]. 中国物理B, 2016, 25(11): 117104-117104.

M I Umo. Crossover of large to small radius polaron in ionic crystals[J]. Chin. Phys. B, 2016, 25(11): 117104-117104.

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Crossover of large to small radius polaron in ionic crystals

Crossover of large to small radius polaron in ionic crystals

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