THE EFFECTIVE MASS OF STRONG-COUPLING MAGNETOPOLARON IN QUANTUM DOT

2007 ◽  
Vol 21 (12) ◽  
pp. 2007-2016 ◽  
Author(s):  
WEI XIAO ◽  
JING-LIN XIAO
Keyword(s):  
Quantum Dot ◽  
Interaction Energy ◽  
Effective Mass ◽  
Strong Coupling ◽  
Vibration Frequency ◽  
Operator Method ◽  
Quantum Size ◽  
Electron Phonon Coupling ◽  
First Time ◽  
Parabolic Quantum Dot

The properties of the strong-coupling magnetopolaron in a parabolic quantum dot are studied for the first time using an improved linear combination operator method. The relation between the vibration frequency, the interaction energy and the effective mass of the strong-coupling magnetopolaron in a parabolic quantum dot with the magnetic field, the confinement strength and the electron-phonon coupling strength were derived. Numerical calculations for the RbCl crystal, for example, are performed and the results show that the vibration frequency, the effective mass and the interaction energy of the strong-coupling magnetopolaron in a parabolic quantum dot will increase quickly with decreasing effective confinement length of the quantum dot. Those attributed to interesting quantum size effects will appear.

VIBRATIONAL FREQUENCY OF IMPURITY BOUND MAGNETOPOLARON IN AN ANISOTROPIC QUANTUM DOT

2009 ◽  
Vol 23 (20n21) ◽  
pp. 2449-2456 ◽  
Author(s):  
WEI XIAO ◽  
JING-LIN XIAO
Keyword(s):  
Quantum Dot ◽  
Interaction Energy ◽  
Coupling Strength ◽  
Vibrational Frequency ◽  
Cyclotron Frequency ◽  
Operator Method ◽  
Phonon Coupling ◽  
Electron Phonon Coupling ◽  
Anisotropic Quantum Dot ◽  
Bound Magnetopolaron

We study the vibrational frequency and the interaction energy of the weak-coupling impurity bound magnetopolaron in an anisotropic quantum dot. The effects of the transverse and longitudinal effective confinement lengths, the electron–phonon coupling strength, the cyclotron frequency of a magnetic field and the Coulomb bound potential are taken into consideration by using an improved linear combination operator method. It is found that the vibrational frequency and the interaction energy will increase rapidly with decreasing confinement lengths and increasing the cyclotron frequency. The vibrational frequency is an increasing function of the Coulomb bound potential, whereas the interaction energy is an decreasing one of the potential and the electron–phonon coupling strength.

THE EFFECTIVE MASS OF STRONG-COUPLING MAGNETOPOLARONS IN A PARABOLIC QUANTUM DOT

2011 ◽  
Vol 25 (32) ◽  
pp. 2419-2425 ◽  
Author(s):  
SHI-HUA CHEN ◽  
QING-ZHOU YAO
Keyword(s):  
Magnetic Field ◽  
Quantum Dot ◽  
Field Strength ◽  
Effective Mass ◽  
Magnetic Field Strength ◽  
Strong Coupling ◽  
Function Approximation ◽  
Gaussian Function ◽  
The Magnetic Field ◽  
Parabolic Quantum Dot

Within the framework of the Landau–Pekar variational method we have investigated the effective mass of strong-coupling magnetopolarons in a parabolic quantum dot. The effective mass as functions of the magnetic field strength and the confinement length of the quantum dot are obtained in the Gaussian function approximation. It is shown that the effective mass increases with the increasing magnetic field strength and increases with the decrease in the size of the quantum dot (QD).

EFFECTIVE MASS OF STRONG-COUPLED BOUND POLARON IN AN ASYMMETRIC QUANTUM DOT INDUCED WITH RASHBA EFFECT

2011 ◽  
Vol 10 (03) ◽  
pp. 501-505 ◽  
Author(s):  
ZHIXIN LI ◽  
JUAN XIAO ◽  
AIYONG LIU ◽  
JINGLIN XIAO
Keyword(s):  
Quantum Dot ◽  
Effective Mass ◽  
Operator Method ◽  
Transformation Method ◽  
Rashba Effect ◽  
Linear Combination Operator ◽  
Polaron Model ◽  
Bound Polaron ◽  
Asymmetric Quantum Dot ◽  
Asymmetric Quantum

In this paper, on the basis of Huybrechs' strong-coupled polaron model, the Tokuda-modified linear-combination operator method and the unitary transformation method are used to study the properties of the strong-coupled bound polaron considering the influence of Rashba effect, which is brought by the spin-orbit (SO) interaction, in an asymmetric quantum dot (QD). The expression for the effective mass of the polaron as functions of the transverse and longitudinal bound strengths, velocity, vibration frequency, and the bound potential has been derived. After a simple numerical calculation on the RbCl crystal, we found that the total effective mass of the bound polaron is composed of three parts. The interaction between the orbit and the spin with different directions has different effects on the effective mass of the bound polaron.

GROUND STATE LIFETIME OF STRONG-COUPLING MAGNETOPOLARON IN AN ASYMMETRIC QUANTUM DOT

2009 ◽  
Vol 23 (12) ◽  
pp. 1547-1555 ◽  
Author(s):  
ZHIXIN LI ◽  
JINGLIN XIAO
Keyword(s):  
Quantum Dot ◽  
Strong Coupling ◽  
Ground State Energy ◽  
Vibration Frequency ◽  
Ground State ◽  
Coupling Strength ◽  
State Energy ◽  
External Temperature ◽  
Asymmetric Quantum Dot ◽  
Asymmetric Quantum

The ground state lifetime of a magnetopolaron was investigated with electron–LO-phonon strong coupling in an asymmetric quantum dot using the linear combination operator and unitary transformation methods. Quantum transition, which cause changes of the magnetopolaron lifetime, occurs in the quantum system due to electron–phonon interaction and the influence of external temperature, that is, the magnetopolaron leaps from the ground state to the first excited state after absorbing a LO-phonon. The expressions of the ground state lifetime of the magnetopolaron as a function of the ground state energy, the transverse and longitudinal confinement lengths of quantum dot, the electron–phonon coupling strength, the cyclotron vibration frequency and the external temperature were obtained. Numerical calculations have been performed and the results show that the ground state lifetime of the magnetopolaron increases with increasing the ground state energy and the cyclotron vibration frequency, and decreases with increasing the transverse and longitudinal confinement lengths of the quantum dot, the coupling strength and the external temperature.

EFFECTS OF ANISOTROPIC PARABOLIC POTENTIAL ON THE ENERGY LEVELS AND TRANSITION FREQUENCY OF STRONG-COUPLING POLARON IN A QUANTUM DOT

2013 ◽  
Vol 12 (03) ◽  
pp. 1350016 ◽  
Author(s):  
CHUN-YU CAI ◽  
CUI-LAN ZHAO ◽  
JING-LIN XIAO
Keyword(s):  
Quantum Dot ◽  
Strong Coupling ◽  
Coupling Strength ◽  
Energy Levels ◽  
Three Dimensional ◽  
Transformation Method ◽  
Transition Frequency ◽  
Quantum Size ◽  
Parabolic Potential ◽  
Confining Effect

In the presence of a three-dimensional anisotropic parabolic potential (APP), the energy levels and the transition frequency between relevant levels of the strong-coupling polaron in a quantum dot (QD) are investigated by using the well-known Lee-Low-Pines (LLP) unitary transformation method and the Pekar type variational (PTV) method. The relations of the energy levels and the transition frequency with the electron–phonon (EP) coupling strength and the effective confinement lengths are derived. Numerical calculations show that the energy levels are decreasing functions of the EP coupling strength, whereas the transition frequency is an increasing one of it. And they are all increasing rapidly with decreasing the effective confinement lengths in different directions, which are showing the novel quantum size confining effect of the QD.

scholarly journals Strongly confined 2D parabolic quantum dot: Biexciton or quadron?

2021 ◽  
Vol 602 ◽  
pp. 412591
Author(s):  
Nguyen Hong Quang ◽  
Nguyen Que Huong ◽  
Tran Anh Dung ◽  
Hoang Anh Tuan ◽  
Nguyen Toan Thang
Keyword(s):  
Quantum Dot ◽  
Parabolic Quantum Dot
Sign in / Sign up

Export Citation Format

Share Document