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Hindered rotators by off-site ions in solids: Optical conductivity by sombrero potentials

2007/01/26 by I. Polyanski, Polyanski, I., A. G. Andreev +8
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #Materials Science (cond-mat.mtrl-sci) #Mechanical and Optical Resonators #Other Condensed Matter (cond-mat.other) #Quantum optics and atomic interactions #cond-mat.mtrl-sci #cond-mat.other

paper · pdf · doi:10.48550/arxiv.cond-mat/0701673

23 pages, including 9 figures and 1 table, all pdf format

arxiv created 2007/01/26 · openalex publication_date 2007/01/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the optical conductivity of carriers scattered by local sombrero potentials associated with hindered planar rotators in solids. Examples for hindered rotators are provided by off-center substitutional Li ions in colored alkali halides and off-site apical oxygens O(A) in layered perovskites. We obtain off-center displacements by solving for the vibronic mixing of electronic states at the displacing ion site. The eigenvalue equation of a hindered rotator is solved in 2D by Mathieu's periodic functions, as the rotation is quantized in rotational bands. We discuss the optical conductivities pertaining to each of the exemplified cases.

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