The effective mass of the polaron considering the Rashba effect in a weak triangular polar slab
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ORIGINAL PAPER
The effective mass of the polaron considering the Rashba effect in a weak triangular polar slab X Wang* College of Physics and Electromechanics, Inner Mongolia National University, Tongliao 028043, China Received: 08 September 2019 / Accepted: 14 May 2020
Abstract: Taking into account the interaction of the electron with bulk longitudinal-optical and the Rashba effect brought by the spin–orbit interaction, we have studied the effective mass (m ) of the strong coupling polaron in semiconductor weak triangular polar slab. Using the method of Green’s function, m has been derived as a function of slab thickness Lz , the velocity u and the coupling constant a. Numerical results showed that the interactions between the orbit and the spin directions will affect m . Keywords: Polaron; Rashba (SO) interaction; Green’s function; Effective mass (m )
1. Introduction Since Licari and Evrand deduced the Hamiltonian of the electron–phonon interaction in a slab [1], many investigators have reported the various properties of polar slab using different theoretical and experimental methods. Qing et al. [2] used GF method to analyze the features of the polaron’s self-trapping energy and effective mass, but they failed to consider the RE. Qin and Gu [3] also used the GF method to characterize the relationship between temperature and the electron self-energy. Eerdunchaolu et al. [4] studied the bound polaron with Huybrecht’s linear combination method. Semiconductor spintronics have drawn a great attention from physicist worldwide, because of their theoretical and practical value in high-tech industry [5–11]. RE is a very important branch of spintronics, because of its potential impact on information technology [12, 13]. In recent years, there were more reports about the RE in polar slab crystal system. With the help of the first-principles, Shanavas has studied RE at the SrTiO3 (001) surfaces [14]. Shanavas and Satpathy explored the electric field tuning of the RE in the polar perovskite structures [15]. Li et al. and Zhang et al. [16–18] discussed the Rashba effect using the LLP variational method in quantum dots and quantum wells, respectively. In the experiment, Rinaldi et al. [19] show
that there is an obvious spin charge transition, which reveals the potential effect in GeTe (111) on spin orbit electrons. Qihang Liu et al. [20] showed that Rashba parameter can be effectively tuned by the intrinsic strain, while the bandgap and the helical direction of spin states sensitively depend on the external electric field, and proposed an advanced Datta-Das SFET model that consists of dual gates and 2D LaOBiS2 channels by selecting different Rashba states to achieve the on–off switch via electric fields. Although we have achieved the RE on the electronic system, the RE on the polaron, however, is not well understood so far. Especially, the influence of RE on the effective mass of Polaron in TPS has not been studied by GF method. In this paper, we will calculate m of polaron using the GF method, considering the influen
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