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Effects of Temperature on the Ground State Energy of the Strong Coupling Polaron in a RbCl Asymmetrical Semi-Exponential Quantum Well

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Abstract

In this article, temperature effects on strong coupling polaron in a RbCl asymmetrical semi-exponential quantum well (ASEQW) are studied by applying the quantum statistical theory (QST). Based on the well-known LLP unitary transformation and linear combination operation (LCO) methods, we have derived the ground state energy and the mean phonon number of strong coupling polaron in the ASEQW. According to the obtained results, ground state energy decreases with increasing temperature, whereas mean phonon number increases by increasing temperature. The ground state energy and mean phonon number are decaying functions with raising parameter \(\sigma \), whereas they are enhancing ones with lifting parameter \(U_{0}\).

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References

  1. Anapolitanos, I., Landon, B.: Lett. Math. Phys. 103, 1347 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  2. Griesemer, M., Wellig, D.: J. Phys. A Math. Theor. 46, 425202 (2013)

    Article  ADS  Google Scholar 

  3. Frank, R.L., Geisinger, L.: Commun. Math. Phys. 338, 1 (2015)

    Article  ADS  Google Scholar 

  4. Carley, H.: J. Math. Phys. 48(01), 2101 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  5. Wellig, D.: Rev. Math. Phys. 27, 1550005 (2015)

    Article  MathSciNet  Google Scholar 

  6. Mou, S., Guo, K.X., Xiao, B.: Superlatt. Microstruct. 65, 309 (2014)

    Article  ADS  Google Scholar 

  7. Guo, K.X., Xiao, B., Zhou, Y.C., Zhang, Z.M.: J. Opt 17, 03550 (2015)

    Google Scholar 

  8. Chen, Y.J., Xiao, J.L.: Acta. Phys. Sin 57, 6758 (2008)

    Google Scholar 

  9. Chen, Y.J., Xiao, J.L.: Commun. Theor. Phys 52, 601 (2009)

    Article  ADS  Google Scholar 

  10. Sarengaowa, Xiao, J.L., Zhao, C.L.: Chinese J. Phys. 55, 1883 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  11. Lee, T.D., Low, F.E., Pines, D.: Phys. Rev. 90(2), 297 (1953)

    Article  ADS  MathSciNet  Google Scholar 

  12. Huybrechts, W.J.: J. Phys. C. Solid State Phys. 10, 3761 (1977)

    Article  ADS  Google Scholar 

  13. Devreese, J.T.: Polarons in ionic crystals and polar semiconductors. North-Holland Publ. Co., Amsterdam (1972)

Download references

Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11464033, 11464034) and National Natural Science Foundation of Inner Mongolia (Grant No.2018LH01001).

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Authors and Affiliations

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

    Xiu-Qing Wang & Jing-Lin Xiao

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  1. Xiu-Qing Wang
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  2. Jing-Lin Xiao
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Correspondence to Jing-Lin Xiao.

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Wang, XQ., Xiao, JL. Effects of Temperature on the Ground State Energy of the Strong Coupling Polaron in a RbCl Asymmetrical Semi-Exponential Quantum Well. Int J Theor Phys 57, 3436–3442 (2018). https://doi.org/10.1007/s10773-018-3857-5

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  • DOI: https://doi.org/10.1007/s10773-018-3857-5

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