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The Parabolic-Gaussian Potential and Phonon Effects on the Polaron Levels in Alkali Halogen Ionic Crystal Quantum Wells

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Abstract

In this current study, we theoretically study how anisotropic parabolic potential affects polaron n excited state in strongly coupled polar crystals (KBr, KCl, RbCl) in asymmetric Gaussian potential quantum wells, through the combined approach of one unitary transformation and linear combination operator. In the restriction limit of strong coupling, we derive rigorous results for excited state energy. By using this combination method, polaron energy and electron energy are compared which energy both polaron and electron is affected by confined potential. In addition, the relationship between energy difference and coupling strength is also discussed. It is hoped that the theoretical results reveal a promising and importance of further study of polaron.

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Acknowledgements

The project is supported by the National Natural Science Foundation of China (12164032 and 11964026), the Natural Science Foundation of Inner Mongolia (No. 2019MS01010, 2022MS01014), Doctor Research Start-up Fund of Inner Mongolia Minzu University (BS625), and Scientific Research Projects in Colleges and Universities in Inner Mongolia (No. NJZZ19145)

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Authors and Affiliations

  1. Institute of Condensed Matter Physics, Inner Mongolia Minzu University, Tongliao, 028043, China

    Jian Cui, Yong Sun, Shuang Han, Wei Zhang, Ran An, Xin-Jun Ma, Pei-Fang Li & Jing-Lin Xiao

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  1. Jian Cui
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  2. Yong Sun
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  3. Shuang Han
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  4. Wei Zhang
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  5. Ran An
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Contributions

Jian Cui: Visualization, Investigation Data duration, Writing-Original draft preparation，Methodology, Software, Conceptualization, Methodology, Numerical Calculation, Supervision Yong Sun: Conceptualization, Methodology, Software, Conceptualization, Methodology, Numerical Calculation, Supervision. Shuang Han: Conceptualization, Methodology, Data duration, Numerical Calculation, Supervision. Wei Zhang: Conceptualization, Methodology, Data duration, Numerical Calculation, Supervision. Ran An: Conceptualization, Methodology, Data duration, Numerical Calculation, Supervision. Xin-Jun Ma: Visualization, Investigation Data duration, Writing-Original draft preparation. Pei-Fang Li: Visualization, Investigation Data duration, Writing-Original draft preparation. Jing-Lin Xiao: Conceptualization, Methodology, Supervision.

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Correspondence to Yong Sun.

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Cui, J., Sun, Y., Han, S. et al. The Parabolic-Gaussian Potential and Phonon Effects on the Polaron Levels in Alkali Halogen Ionic Crystal Quantum Wells. Int J Theor Phys 62, 217 (2023). https://doi.org/10.1007/s10773-023-05471-0

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  • DOI: https://doi.org/10.1007/s10773-023-05471-0

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