Abstract
The effects of temperature T, average number of optical phonons N, the phonon frequency \(\omega \) and slab thickness d in a polar slab were investigated using the linear combination operator and unitary transformation methods. The results showed that the phonon frequency \(\omega \) increases with increasing temperature T, but the average number of optical phonons N and phonon frequency \(\omega \) decreases with the increase in slab thickness d. When the slab thickness is <5 nm, N decreases sharply, and when the slab thickness is <10 nm, the phonon frequency \(\omega \) and slab thickness d changed significantly.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Licari, J.J., Evrand, R.: Electron–phonon interaction in a dielectric slab: effect of the electronic polarizability. Phys. Rev. B 15, 2254 (1977)
Licari, J.J.: Polaron self-energy in a dielectric slab. Solid State Commun. 29, 625–628 (1979)
Sherman, A.V.: Dependence of the polaron binding energy and effective mass in a crystal layer on its thickness. Solid State Commun. 39, 273–277 (1981)
Hawton, M.H., Paranjape, V.V.: Polaron in a thin slab. Phys. Soc. Jpn. 52, 3563–3570 (1983)
Sarma, D.S.: Polaron effective mass in GaAs heterostructure. Phys. Rev. B 27, 2590–2593 (1983)
Gu, S.-W., Kong, X.-J., Wei, C.-W.: A magnetopolaron in a slab of a polar crystal. Phys. C Solid State Phys. 21, 1497–1510 (1998)
Zheng, L., Li, Y., Gu, S.: The bound polaron in a polar slab. Phys. C Solid State Phys. 21, 3047 (1998)
Eerdun, C.L., Li, S.S., Xiao, J.J.: Influence of electron-surface phonon strong-coupling on properties of polaron in a CdF2 semiconductor slab. Chin. Semicond. 21, 225 (2000)
Wang, X.Q., Xiao, J.L.: The bound polaron in a polar semiconductor slab. J. Lumin. 12, 843 (2006)
Qin, R.H., Gu, S.W.: Temperature dependence of electron selfenery and effective mass in a polar crystal quantum well. J. Shanghai Jiaotong Univ. 32, 3 (1998)
Qin, R.H., Gu, S.W.: Polaron in a polar crystal slab. J. Shanghai Jiaotong Univ. 32, 89 (1998)
Cai, C.-Y., Zhao, C.-L., Xiao, J.-L.: Effects of temperature on first-excited-state energy of the strong coupling magnetopolaron in 2D RbCl parabolic quantum dots. J. Low Temp. Phys. 178(3–4), 142–148 (2015)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is part of topical collection on Trapped Ion Quantum Information Processing.
Foundation item: Project Supported by Inner Mongolia University for the Nationalities (NJZY174).
Rights and permissions
About this article
Cite this article
Wang, Xq. The influence of temperature on the average number of optical phonons in a polar slab of semiconductors. Quantum Inf Process 16, 57 (2017). https://doi.org/10.1007/s11128-016-1462-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11128-016-1462-1