Rashba Effect on the Bound Polaron in an Asymmetric Quantum Dot

Abstract

By using LLP variational method, the Rashba effect on the bound polaron in an asymmetric quantum dot is investigated and the expression of the bound polaron ground state energy is derived. Considering different Coulomb bound potentials, we discuss the relations between the ground state energy and the electron-phonon coupling strength, the wave vector, the transverse effective confinement length and the longitudsinal effective confinement length, respectively. The results show that the ground state energy is a decreasing function of the Coulomb bound potential, the electron-phonon coupling strength, the transverse effective confinement length and the longitudinal effective confinement length. On the contrary, it is an increasing function of the wave vector. Due to the Rashba effect, the ground state energy splits into two branches.

Energy Levels of Weak Coupling Magneto-Optical Polaron and Temperature Effect in Spherical Quantum Dot

“…The increase of the coupling constant makes electrons to interact phonons. This result is in agreement with Shu-Ping Shan et al in [24][25][26] In Figure 3 increasing functions of the the electron-phonon interact with more agreement with that obtained by , we have plotted the polaron energies as a cyclotron frequency for it is seen that the of the cyclotron As the magnetic field gets stronger, the electron away from the center and gets closer to the surface along the axis, resulting to a decrease the bulk LO phonon to the binding energy important in the control and modulation of optoelectronic devices [27] In figure 4, we have plotted the temperature of as a function of cyclotron frequency for (Fig. 4a) and 1 2 0.5, 0.25 l l = = (Fig.…”

Bound polaron in a quantum pseudodot under Rashba effect

“…Hence, E SO enhances with increasing wave vector q. We have also presented the results of Shen et al [25] about an asymmetric quantum dot.…”

“…Therefore, this confinement leads to greater electron wave function overlapping with each other and thereby the electron-phonon interactions will be enhanced. To further description, we have compared our calculations with the results of Shen et al [25]. In that reference, Shen et al [25] investigated the Rashba effect on the bound polaron in an asymmetric quantum dot.…”

“…To further description, we have compared our calculations with the results of Shen et al [25]. In that reference, Shen et al [25] investigated the Rashba effect on the bound polaron in an asymmetric quantum dot. As we see, the ground state energy of our system has similar behavior with an asymmetric quantum dot.…”

“…Papadakis et al [24] studied spin splitting due to Rashba spin-orbit coupling in detail via Shubnikovde Haas oscillations including also anisotropic properties of the magnetoresistance. To more information, the reader can refer to [25][26][27][28].…”