Effect of temperature on the ground state of polaron in an asymmetrical Gaussian potential quantum well

2017 ◽  
Vol 55 (5) ◽  
pp. 1883-1887 ◽  
Author(s):  
Sarengaowa ◽  
Jing-Lin Xiao ◽  
Cui-Lan Zhao
Keyword(s):  
Quantum Well ◽  
Ground State ◽  
Effect Of Temperature ◽  
Gaussian Potential

The effect of temperature on strong-coupling magnetopolaron in an asymmetrical Gaussian potential quantum well

2020 ◽  
Vol 34 (12) ◽  
pp. 2050114
Author(s):  
Xiu-Juan Miao ◽  
Yong Sun ◽  
Jing-Lin Xiao
Keyword(s):  
Magnetic Field ◽  
Quantum Well ◽  
Strong Coupling ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Cyclotron Frequency ◽  
Operator Method ◽  
Effect Of Temperature ◽  
Gaussian Potential

The influences of temperature and cyclotron frequency of a magnetic field on the ground state energy and mean number of phonons (MNP) of strong-coupling magnetopolarons in an asymmetric Gaussian potential quantum well(AGPQW) are researched by employing the linear-combination operator method and the unitary transformation. It was demonstrated through the numerical calculations that the ground state energy and the MNP increase with higher magnetic field cyclotron frequencies and temperature. In addition, increasing of the barrier of asymmetric Gaussian potential (AGP) causes the ground state energy to decrease while increasing the MNP of magnetopolarons.

The temperature effect on ground state binding energy of a strong-coupling magnetopolaron in an asymmetrical Gaussian potential quantum well

2021 ◽  
pp. 2150273
Author(s):  
Saren Gaowa ◽  
Xiu-Juan Miao ◽  
Jing-Lin Xiao ◽  
Cui-Lan Zhao
Keyword(s):  
Binding Energy ◽  
Quantum Well ◽  
Strong Coupling ◽  
Ground State ◽  
Cyclotron Frequency ◽  
Gaussian Potential ◽  
Ground State Binding Energy ◽  
Quantum Statistical Theory ◽  
Quantum Statistical ◽  
Physical Quantities

This paper utilized the methods of linear combination and unitary transformation to evaluate the vibrational frequency (VF) and ground state binding energy (GSBE) of a strong-coupling magnetopolaron in an asymmetrical Gaussian potential quantum well (AGPQW), and the effects of the temperature on these physical quantities were studied through quantum statistical theory. The changes of the VF and GSBE versus temperature and cyclotron frequency (CF) in a magnetic field were discussed. The numerical calculations revealed that with the increase of temperature, the VF and GSBE also increased. Meanwhile, the numerical results show that the VF increases with the increase of the CF. However, the GSBE versus the CF has different changing properties.

scholarly journals The Energy of the Ground State of the Two-Dimensional Hamiltonian of a Parabolic Quantum Well in the Presence of an Attractive Gaussian Impurity

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1561
Author(s):  
Silvestro Fassari ◽  
Manuel Gadella ◽  
Luis Miguel Nieto ◽  
Fabio Rinaldi
Keyword(s):  
Integral Operator ◽  
Quantum Well ◽  
Fourth Order ◽  
Ground State ◽  
Fredholm Determinant ◽  
Quantum Mechanical ◽  
Two Dimensional ◽  
Coupling Constant ◽  
Gaussian Potential

In this article, we provide an expansion (up to the fourth order of the coupling constant) of the energy of the ground state of the Hamiltonian of a quantum mechanical particle moving inside a parabolic well in the x-direction and constrained by the presence of a two-dimensional impurity, modelled by an attractive two-dimensional isotropic Gaussian potential. By investigating the associated Birman–Schwinger operator and exploiting the fact that such an integral operator is Hilbert–Schmidt, we use the modified Fredholm determinant in order to compute the energy of the ground state created by the impurity.

Effect of temperature on GaAs/AlGaAs multiple quantum well solar cells

1998 ◽  
Vol 51 (1-3) ◽  
pp. 85-89 ◽  
Author(s):  
E Aperathitis ◽  
C.G Scott ◽  
D Sands ◽  
V Foukaraki ◽  
Z Hatzopoulos ◽  
...  
Keyword(s):  
Solar Cells ◽  
Quantum Well ◽  
Multiple Quantum Well ◽  
Effect Of Temperature ◽  
Multiple Quantum

The effect of hydrostatic pressure on binding energy and polaron effect of bound polaron in wurtzite AlyGa1−yN/AlxGa1−xN parabolic quantum well

2020 ◽  
pp. 2150008
Author(s):  
Feng Qi Zhao ◽  
Zi Zheng Guo ◽  
Bo Zhao
Keyword(s):  
Hydrostatic Pressure ◽  
Binding Energy ◽  
Quantum Well ◽  
Optical Phonon ◽  
Ground State ◽  
Phonon Interaction ◽  
Polaron Effect ◽  
Bound Polaron ◽  
Composition Formula ◽  
Effect Of Hydrostatic Pressure

The effect of hydrostatic pressure on binding energy and polaron effect of the bound polaron in a wurtzite Al[Formula: see text]Ga[Formula: see text]N/Al[Formula: see text]Ga[Formula: see text]N parabolic quantum well (QW) is studied using the Lee–Low–Pines intermediate coupling variational method in the paper. The numerical relationship of binding energy and polaron effect of the bound polaron are given as a functions of pressure [Formula: see text], composition [Formula: see text] and well width [Formula: see text]. In the theoretical calculations, the anisotropy of the electron effective band mass, the optical phonon frequency, the dielectric constant and other parameters in the system varying with the pressure [Formula: see text] and the coordinate [Formula: see text] are included. The electron–optical phonon interaction and the impurity center–optical phonon interaction are considered. The results show that hydrostatic pressure has a very obvious effect on binding energy and polaron effect of the bound polaron in the wurtzite Al[Formula: see text]Ga[Formula: see text]N/Al[Formula: see text]Ga[Formula: see text]N parabolic QW. For QWs with determined structural parameters, the contributions of the three branch of phonons, i.e., the confined (CF) phonon, half-space (HS) phonon and the interface (IF) phonon, to binding energy of the polaron increase with the increase of the pressure [Formula: see text], the CF phonons contribute the most. Under the condition of a certain well width and hydrostatic pressure, with the increase of the composition [Formula: see text], the ground state binding energy of the bound polaron in the wurtzite Al[Formula: see text]Ga[Formula: see text]N/Al[Formula: see text]Ga[Formula: see text]N parabolic QW increases, and the contribution of the IF phonon and HS phonons to the binding energy decreases, while the contribution of the CF phonons and the total contribution of all phonons increase significantly. In the wurtzite Al[Formula: see text]Ga[Formula: see text]N/Al[Formula: see text]Ga[Formula: see text]N parabolic QW, the ground state binding energy of the bound polaron decreases with the increase of the well width. The decrease rate is greater in the narrow well, and smaller in the wide well. The contribution of different branches of phonons to binding energy varies with the change of the well width. With the increase of the well width, the contribution of CF phonons to binding energy increases, the contribution of HS phonons to binding energy decreases, and the IF phonon contribution and the total phonon contribution first increase to the maximum value and then gradually decrease slightly. The changing trend of binding energy of bound polaron in the wurtzite Al[Formula: see text]Ga[Formula: see text]N/Al[Formula: see text]Ga[Formula: see text]N parabolic QW, of the contribution of different branch phonons to binding energy with the pressure [Formula: see text], composition [Formula: see text] and well width [Formula: see text] is similar to that of the GaN/Al[Formula: see text]Ga[Formula: see text]N square QW, but the change in the parabolic QW is more obvious.

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