Abstract
We studied that the influences of the temperature on the ground state energy of the coupling polaron in an asymmetric quantum pseudodot (QPD) under the external magnetic field by using the quantum statistical theory (QST) and the variational method of the Pekar-type (VMPT). And the relations between the ground state energy and the external magnetic field, the chemical potential of the two-dimensional electron gas, the pseudoharmonic potential (PHP) zero point, the coupling strength and the effective confinement lengths are discussed. The results of our study have shown that the ground state energy firstly declines and then rises as the temperature is increased from a low value. We also find that the ground state energy rises with the enhancing external magnetic field and the chemical potential of the two-dimensional electron gas. And the ground state energy declines firstly and then reinforces as the PHP zero point is enhanced. What’s more, the ground state energy is reductive function of the coupling strength and the effective confinement lengths.
Similar content being viewed by others
References
Reed, M.A., Bate, R.T., Bradshaw, K., et al.: J. Vac. Sci. Technol. B 4, 358 (1986)
Inoshita, T., Sakaki, H.: Solid-State Electron. 37, 1175 (1994)
Klein, M.C., Hache, F., Ricard, D., et al.: Phys. Rev. B 42, 11123 (1990)
Tarucha, S., Austing, D.G., Sasaki, S., et al.: Physica E 10, 45 (2001)
Es-Sbai, N., Fliyou, M., Abarkan, E.: Phys. Low-Dimens. Struct. 2000, 61 (2000)
Xie, H.J., Chen, C.Y.: Eur. Phys. J. B 5, 215 (1998)
Nguyen, V.L., Nguyen, M.T., Nguyen, T.D.: Physica B 292, 153 (2000)
Zhou, H.Y., Gu, S.W.: J. Shanghai Univ. 5, 40 (2001)
Luo, Y., Wang, R.Z., Ma, B.K.: J. Beijing Normal. Univ. 34, 212 (1998)
Corella-Madueno, A., Rosas, R., Marin, J.L., et al.: J. Appl. Phys. 90, 2333 (2001)
Melnikov, D.V., Fowler, W.B.: Phys. Rev. B 63, 65302 (2001)
Melnikov, D.V., Fowler, W.B.: Phys. Rev. B 64, 195335 (2001)
Li, W.P., Xiao, J.L.: Chin. J. Semiconduct. 28, 1187 (2007)
Ren, Y.H., Chen, Q.H., Jiao, Z.K.: Acta. Phys. Sin. 7, 598 (1998)
Xiao, W., Xiao, J.L.: Chin. J. Lumin. 27, 849 (2006)
Khordad, R., Mirhosseini, B.: Physica B 420, 10 (2013)
Sun, Y., Ding, Z.H., Xiao, J.L.: J. Electron. Mater. 45, 3576 (2016)
Kilic, D.G., Sakiroglu, S., Ungan, F., et al.: Physica B 509, 10 (2017)
Niley, F., Nakamura, K.: Phys. B 184, 398 (1993)
Niley, F., Hwang, S.W., Nakamura, K.: Phys. Rev. B 51, 4649 (1995)
Weiss, D., Richiter, K., Manschig, A., et al.: Phys. Rev. Lett. 70, 4118 (1993)
Ueki, M., Endo, A., Katsumoto, S., Iye, Y.: Phys. E 22, 365 (2003)
Zhu, J.L., Xiong, J.J., Gu, B.L.: Phys. Rev. B 9, 6001 (1990)
Chayanika, B.: J. Appl. Phys. 6, 3089 (1998)
Cetin, A.: Phys. Lett. A 369, 506 (2007)
Lisa, K., Bednareka, S., Szafrana, B., Adamowski, J.: Phys. E 17, 494 (2003)
Cetin, A.: Phys. Lett. A 372, 3852 (2008)
Khordad, R.: Superlattices Microstruct. 62, 166 (2013)
Khordad, R., Mirhosseini, B., Bahramiyan, H.: Opt. Quant. Electron. 48, 122 (2016)
Kilic, D.G., Sakiroglu, S.: Opt. Commun. 394, 86 (2017)
Ma, X.J., Qi, B., Xiao, J.L.: J. Low. Temp. Phys. 180, 315 (2015)
Chen, Y.J., Xiao, J.L.: Acta. Phys. Sin. 57, 6758 (2008)
Chen, Y.J., Xiao, J.L.: Commun. Theor. Phys. 52, 601 (2009)
Chen, Y.J., Xiao, J.L.: J. Low Temp. Phys. 170, 60 (2013)
Chen, Y.J., Xiao, J.L.: J. Low Temp. Phys. 186, 241 (2017)
Chen, Y.J., Song, H.T., Xiao, J.L.: Indian J. Phys. 92, 587 (2018)
Chen, Y.J., Song, H.T., Xiao, J.L.: Superlattice Microstruct. 113, 82 (2018)
Chen, Y.J., Song, H.T., Xiao, J.L.: Superlattice. Microstruct. 118, 92 (2018)
Yu, Y.F., Yin, J.W., Xiao, J.L.: Chin. J. Lumin. 27, 442 (2006)
Wang, Z.W., Xiao, J.L.: Chin. J. Lumin. 28, 647 (2007)
Sun, Y., Zhao, H.D., Xiao, J.L.: Commun. Theor. Phys. 67, 337 (2017)
Feng, L.Q., Xiao, J.L.: Opt. Quant. Electron. 48, 459 (2016)
Xiao, J.L.: Chin. Phys. B 26, 027104 (2017)
Zhang, J.F., Xiao, J.L.: Chin. J. Phys. 54, 695 (2016)
Cai, C.Y., Zhao, C.L., Xiao, J.L.: J. Electron. Mater. 46, 971 (2017)
Xiao, J.L.: Int. J. Theor. Phys. 55, 4918 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, YJ., Wang, X. Influences of the Temperature on the Ground State of the Coupling Polaron in an Asymmetric Quantum Pseudodot Under the External Magnetic Field. Int J Theor Phys 57, 3540–3549 (2018). https://doi.org/10.1007/s10773-018-3868-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3868-2