Rashba Effect on the Bound Polaron in an Asymmetric Quantum Dot

Shu-Ping Shan,Jing-Lin Xiao,Shi-Hua Chen

doi:10.1007/s10909-014-1163-z

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.

Highlights

Spintronics, starting in 1988, is still an active research field which may fabricate electron devices with brand-new physical properties by using eletcron spin S.-P
The condition of electric–LO phonon strong coupling in a parabolic quantum dot (QD) was studied in detail by Li et al [14] and the polaron ground state energy was derived by the variational method of Pekar, considering the influence of the Rashba SO interaction
This is attributed to the first term in Eq (9) that the square of the wave vector is a positive value to the energy

Summary

Introduction

Spintronics, starting in 1988, is still an active research field which may fabricate electron devices with brand-new physical properties by using eletcron spin. Manvir [5] proposed the theoretical investigation of the effect of the Rashba-type spin-orbit interaction on the Fock-Darwin energy spectrum in the parabolically confined QDs in the presence of a perpendicular magnetic field. Considering the influence of the Rashba SO interaction on the condition of the electron–LO phonon strong coupling in a parabolic QD, Yin et al [13] calculated the bound polaron ground state energy by the variational method of Pekar. The condition of electric–LO phonon strong coupling in a parabolic QD was studied in detail by Li et al [14] and the polaron ground state energy was derived by the variational method of Pekar, considering the influence of the Rashba SO interaction.

Theory and Model

Numerical Results and Discussion

Conclusion