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- Title
Influence of the Rashba Effect on the Ground-State Properties of the Fröhlich Bipolaron in a Quantum Dot.
- Authors
Wuyunqimuge; Zhang, Ying; Yin, Hong-Wu; Han, Chao; Eerdunchaolu
- Abstract
The influence of the Rashba effect on the ground-state properties of the Fröhlich bipolaron in a quantum dot is first studied using the variational method of Pekar type based on the Lee-Low-Pines unitary transformation. The results indicate that, under the condition of strong electron-phonon coupling (coupling strength $$\alpha >6$$ ), the condition of forming bipolaron in a quantum dot (binding energy $$E_{\mathrm{b}>0} )$$ is naturally met; the bipolaron binding energy $$E_\mathrm{b} $$ increases with increasing confinement strength of the quantum dot $$\omega _0 $$ , dielectric constant ratio of medium $$\omega _0$$ and electron-phonon coupling strength $$\alpha $$ and increases or decreases linearly with increasing Rashba spin-orbit coupling strength $$\alpha _\mathrm{R} $$ . The bipolaron in quantum dot is in a bound state, and the contribution of the Rashba effect to the ground-state energy consists of $$E(\uparrow \uparrow )$$ , $$E(\downarrow \downarrow )$$ and $$E(\uparrow \downarrow )$$ , corresponding to three spin states of two electrons as follows, spin-parallel and antiparallel; the absolute value of the ground-state energy increases with increasing $$\eta $$ and $$\alpha $$ and increases or decreases linearly with increasing $$\alpha _\mathrm{R} $$ ; in the interaction energy $$E_\mathrm{int} $$ of the ground-state bipolaron, the electron-phonon coupling energy $$E_{\mathrm{e}-\mathrm{ph}}$$ obviously takes a larger ratio than the Rashba spin-orbit coupling energy $$E_{\mathrm{SO}} $$ , but the electron-phonon coupling and the Rashba spin-orbit coupling influence and infiltrate each other.
- Subjects
RASHBA effect; QUANTUM dots; SPIN-orbit interactions; BINDING energy; ELECTRON-phonon interactions
- Publication
Journal of Low Temperature Physics, 2017, Vol 187, Issue 3/4, p221
- ISSN
0022-2291
- Publication type
Article
- DOI
10.1007/s10909-016-1663-0