Influence of Rashba SOI and Polaronic Effects on the Ground-State Energy of Electrons in Semiconductor Quantum Rings

Abstract

The influence of Rashba spin-orbit interaction (SOI) and polaronic effect on the ground-state energy of electrons in semiconductor quantum rings (QRs) are studied by means of the Lee-Low-Pines variational method. Numerical calculations for GaAs QRs are performed and the results show that the ground-state energy of electrons splits into two branches as 𝐸(↑) and 𝐸(↓) under the Rashba SOI, which correspond to the spin-up state and spin-down state, respectively. The contribution of the Rashba SOI effect to the ground-state energy of electrons is related to the spin state of electrons and is closely linked to the inner and outer radii of a QR. However, it is independent of the height of the QR. The ground-state energy of electrons decreases due to the polaronic effect in QRs. The energy shift Δ𝐸𝑒−LO of the ground-state of the electron induced by the polaronic effect decreases monotonically with increase of the height of a QR and fluctuates with the changes of the radii of QRs. The amplitude of the fluctuation is very sensitive and remarkable to the changes of the inner radius 𝑅1 and the outer radius 𝑅2.

Mathematical Modelling of Bloch NMR to Explain the Rashba Energy Features

“…Figures 9 and 10 show the Rashba energies at ground state (in which was calculated at about ≥43 meV) which have two branches synonymous to the spin up state and the spin down state. Unlike the findings of Eerdunchaolu et al [30] an increase in the Rashba energy makes no significant change in χ 1 & χ 2 (which is described as the height). More importantly, it reveals that Rashba split of orbit interaction effect is not dependent on the height in the y direction.…”

The effect of the Rashba spin-orbit coupling on the ground-state energy of polaron in a parabolic quantum dot

“…The effects of the oft-neglected cubic Dresselhaus spin-orbit coupling in GaAs/ AlGaAs QDs based on random matrix theory have been studied by Jacob et al [4]. Eerdunchaolu et al [5] have researched the influences of Rashba SOI and Polaronic Effects on the ground-state energy of electrons in semiconductor quantum rings by means of the Lee-Low-Pines variational method. Li et al [6] have calculated the effects of magnetic on the properties of a parabolic QD qubit by using a variational method of Pekar type.…”