Temperature and Impurity Effects on Strongly Coupled Polaron in an Asymmetric Parabolic Potential Quantum Dot
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Abstract
Spin–orbit splitting of polaron in an asymmetric parabolic potential quantum dot under the influence of temperature and impurity is studied in the framework of variational technique and quantum statistical theory. The effective mass of the polaron is obtained by theoretical derivation. Due to the spin–orbit interaction, the effective mass of the polaron splits into two branches on the basis of zero spin-splitting effective mass. The dependence of effective mass spin-splitting of polaron on temperature is obtained. At the same time, the effects of electron–phonon coupling strength, polaron velocity, transverse and longitudinal confinement lengths, and Coulomb bound potential strength on polaron effective mass are also discussed by numerical calculation. The numerical results show that the effective mass is an increasing function of temperature, electron–phonon coupling strength, and Coulomb bound potential strength and is a decreasing function of velocity. The absolute value of spin-splitting effective mass is an increasing function of temperature, electron–phonon coupling strength, and Coulomb bound potential strength and is a decreasing function of velocity. An important conclusion is drawn that the effective mass of the heavy hole band is negative.
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References
F. Chi, L. Liu, Int. J. Theor. Phys. 57, 562 (2018)
L. Hong, J. Ge, S. Shuang et al., Acta Physica Sinica 39(05), 728 (2022)
E.I. Rashba, AI.L. Efros, Phys. Rev. Lett. 91, 126405 (2003)
S.-P. Shan, S.-H. Chen, Iranian Journal of Science 41, 755 (2017)
S. Datta, B. Das, Appl. Phys. Lett. 56, 665 (1990)
A. Hofmann, V.F. Maisi, T. Krähenmann, Phys. Rev. Lett. 119, 176807 (2017)
C.X. Zhang, A. Pfeuffer-Jeschke, K. Ortner et al., Phys. Rev B 65(4), 5324 (2002)
A.M. Babanli, O. Uçar, Low Temp.Phys. 47, 849 (2021)
Z.-Y. Zhao, H.-L. Wang, M. Li, Acta Physica Sinica 65, 097101 (2016)
W.P. Li, J.W. Yin, Y.F. Yu, J.L. Xiao, J. Low Temp. Phys. 160, 195 (2010)
J.W. Yin, W.P. Li, Y.F. Yu, J.L. Xiao, J. Low Temp. Phys. 163, 53 (2011)
Z.-J. Qiu, Y.-S. Gui, X.-Z. Shu, N. Dai et al., Acta Physica Sinica 53, 1186 (2004)
S.-P. Shan, Low Temp. Phys. 50, 181 (2024)