Temperature Dependence on State Energies and Transition Frequency of Polaron in a Quantum Well with Asymmetric Gaussian
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Temperature Dependence on State Energies and Transition Frequency of Polaron in a Quantum Well with Asymmetric Gaussian Potential: Strong Coupling Method Zhi-Hui Liang 1 & Xiu-Juan Miao 1 & Yong Sun 1 & Jing-Lin Xiao 1 Received: 11 May 2020 / Accepted: 14 September 2020 / Published online: 23 September 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
In the present work, the influence of temperature effect on polaron in a quantum well (QW) with asymmetric Gaussian potential (AGP). By employing strongly coupling method of Pekar variational (SCMPV), the ground state (GS), the first-excited state (FES) energies and transition frequency (TF) of the polaron are derived. The stateenergies and the TF as relationship of the temperature T and the electron phonon coupling strength (EPCS) are obtained by using quantum statistics theory (QST). We have found that the state-energies and the TF increase when the temperature is increasing. The statesenergies and the TF are decreased with raising the EPCS. Keywords Quantum well . Gaussian potential . Polaron . Strong coupling . Temperature PACS Numbers 71.38.-k . 73.21.fg . 73.20.-r . 63.20.kd . 63.22.-M
1 Introduction Low dimensional (two-dimensional, one-dimensional and zero-dimensional) systems including QW [1–4], quantum wire [5–8] and quantum dot (QD) [9–12] have become the research focus of nanomaterial. The low-dimensional quantum systems have been paid more and more attentions for the last three decades when the production
* Yong Sun [email protected] * Jing-Lin Xiao [email protected]
1
Institute of Condensed Matter Physics, Inner Mongolia University for Nationalities, Tongliao 028043, China
International Journal of Theoretical Physics (2020) 59:3418–3425
3419
technologies of the system became perfect. Many experiment physicists and engineers made the systems (especially QW) have the advantage both the basic research of physics and the applications of technical field. For example, Korovin and Lang et al. [13] accomplished the experimental observation of new polaron effect(PE) in magnetooptic phenomena in a QW. Through measuring the phonon energy of longitudinal optical (LO) in the laser experiment of free electron, Bezant et al. [14] obtained the lifetimes of relaxation on the intersubband in a p-GaAs/AlGaAs QW. Minch et al. [15] theoretically present and experimentally demonstrate the Lasers of long-wavelength strained In1xGaxAsyP1-y and In1-x-yGaxAlyAs QW. At the same time, the theory physicists have paid the attention to two-dimensional QW. Cosmas et al. [16] calculated the confinement of the LO phonon and the PEs in a QW. Hai et al. [17] investigated the polaron problem in a 2D symmetrical QW by using the perturbation theory of the second order. Chen et al. [18] investigated the PE of the third-order optical susceptibility in the ZnS/CdSe QD QW. The phonon energy, the polaron effective mass and the polaron properties in the QW were studied. Here the investigators solve the polaron problem in the QW to deal with the effective co
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