linear combination operator
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2017 ◽  
Vol 31 (13) ◽  
pp. 1750141
Author(s):  
Xiu-Qing Wang

The relationship of an asymmetrical Gaussian potential among average number of optical phonons N, temperature T and slab thickness d, in a polar slab was investigated using linear combination operator and unitary transformation methods. The results showed that the phonon frequency [Formula: see text] increases with increased temperature T, but the average number of optical phonons N and temperature T decreases with increased slab thickness d.


2015 ◽  
Vol 29 (10) ◽  
pp. 1550039
Author(s):  
X. Q. Wang

The ground state energy E0, first excited state energy E1, excitation energy ΔE and oscillating period t of the polaron are calculated by using the linear combination operator and the unitary transformation methods. The variation of the above quantities with the temperature T and the potential well width L, we found that E0, E1 and ΔE all increase with increasing T and decrease with increasing L, but t changes with T and L in the opposite.


2011 ◽  
Vol 10 (03) ◽  
pp. 501-505 ◽  
Author(s):  
ZHIXIN LI ◽  
JUAN XIAO ◽  
AIYONG LIU ◽  
JINGLIN XIAO

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.


2011 ◽  
Vol 25 (06) ◽  
pp. 795-812
Author(s):  
EERDUNCHAOLU ◽  
YING ZHANG ◽  
HAIFENG LI ◽  
CHAO HAN

The influences of the temperature and the phonons effect on the properties of the exciton, which is strongly coupled with interface optical (IO) phonons and weakly coupled with bulk longitudinal-optical (LO) phonons, in a quantum well are studied by means of Huybrechts' linear-combination operator and the Lee–Low–Pines variational method. The expressions for the induced potential of the ground state, the energy shift of the ground state, and the first internal excited state of the exciton were derived. Numerical results are illustrated for AgBr / AgCl quantum well. The results indicate that the induced potential of the ground state, the energy shift of the ground state, and the energy shift of the first internal excited state of the exciton produced by the exciton strongly coupling with IO phonons increase with increasing temperature; however, the induced potential of the ground state, the energy shift of ground state, and the energy shift of the first internal excited state of the exciton produced by the exciton weakly coupling with bulk LO phonons decrease with increasing temperature. The influence of temperature is greater to the changes of the induced potential and the energy shift of the exciton with well widths and the distances between electron and hole.


2010 ◽  
Vol 24 (23) ◽  
pp. 2423-2430 ◽  
Author(s):  
ZHI-XIN LI ◽  
JING-LIN XIAO ◽  
HONG-YAN WANG

In this paper, on the basis of Huybrechs' strong-coupled polaron model, Tokuda modified linear-combination operator and the unitary transformation methods are used to study the properties of the strong-coupled polaron considering the influence of Rashba effect, which is brought by the spin-orbit (SO) interaction, in the asymmetric quantum dot (QD). The expressions of the effective mass as a function of the transverse and longitudinal confinement strengths, the velocity and the vibration frequency were derived. Numerical calculation on the RbCl QD, as an example, is performed and the results show that the total effective mass of the 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 polaron.


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