The effects of pressure and temperature on the energy levels of a parabolic two-electron quantum dot in a magnetic field

Bzour, Faten; Elsaid, Mohammad K.; Ilaiwi, Khaled F.

doi:10.1016/j.jksus.2017.01.001

Cited by 4 publications

(5 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth noting that the electronelectron interaction has been modeled by the harmonic interaction potential that depends on two characteristic parameters V 0 and , whose values were chosen by matching our results for the ground state energy dependence on the magnetic field with the exact diagonalization results of M.K. Elsaid et al [14]. By choosing V 0 = 5.1 meV, = 6.5 meV and R = 1.25a * B , we find that there is a fairly accurate agreement obtained between our results and the exact diagonalization results in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Numerous previous studies have used approximate methods to study the electronic, thermal and optical properties of a quantum dot in the presence of a uniform magnetic field, an electric field or an impurity under the influence of hydrostatic pressure based on the effective mass approximation [12][13][14][15][16][17][18][19][20]. The energy levels of a single GaAs QD with an infinite confinement potential well were studied using the second quantization method [21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Analytical Effects of a Hydrostatic Pressure on the Ground State Energy of GaAs Quantum Dot at Low-Temperature: Algebraic Method

Nammas

Hasan

2022

Semiconductors

View full text Add to dashboard Cite

This analytical study focused on discussing the collective effects of hydrostatic pressure and temperature on the ground state energy for two electrons trapped in GaAs parabolic quantum dot in the presence of a magnetic field using the effective mass approximation. The electronic interaction was approximated by the Johnson--Payne potential model, where its parameters were carefully chosen to match the Coulomb interaction. It is noted that the ground state energy decreases with an increment in pressure while it increases linearly slightly with increasing temperature. As is customary, it was found that ground state energy decreases with increasing dot size and reach its bulk value as the dot becomes wider. Among the most prominent notes related to this study were as follows: (i) The largest contribution to the total ground state energy is caused by the relative motion since the effect of pressure on this part is more pronounced than the part of the center of mass that often does not feel the presence of pressure. (ii) Ground state energy shows temperature insensitivity while pressure exerts a tangible effect on the ground state energy in the strong magnetic field confinement. (iii) The effect of temperature on the ground state energy is always the opposite of the pressure effect. (iv) With regard to the increase in pressure, it was found that it reduces the electron separation (r), therefore the ground state energy decreases in the presence of the harmonic interaction that is directly proportional to the square of r, but compared to previous works mentioned in the literature, energy showed increased behavior because Coulomb's interaction is inversely proportional to the electron separation. (v) In the region of weak confinement (R>a_B*), the effect of pressure on ground state energy becomes neglected, while this effect becomes noticeable in the region of strong confinement (R<a_B*). Keywords: Quantum Dots, Hydrostatic Pressure, Harmonic e-e Interaction.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Analytical Effects of a Hydrostatic Pressure on the Ground State Energy of GaAs Quantum Dot at Low-Temperature: Algebraic Method

Nammas

Hasan

2022

Semiconductors

View full text Add to dashboard Cite

show abstract

“…Castañeda Fernández, E. Santiago-Cortés, D.A. Mantilla-Sandoval R (P ) = R 0 (1 − 1.5082 × 10 −4 P ), (14) where P is in kbar and R 0 is the radius value of the quantum dot when the hydrostatic pressure is zero. The effective mass in the quantum dot is m * (P ) = m * 0 e 0.0078P , (15) where R 0 and m * 0 are the zero-pressure dot radius and initial effective mass respectively.…”

Section: Resultsmentioning

confidence: 99%

“…To include the effect of the pressure (P ) on the quantum dots energy states and the magnetization, we replaced the effective mass and dot radius as defined by Eqs. (14) and (15) in the quantum dot energy Eqs. 13:…”

Section: Resultsmentioning

confidence: 99%

“…Previous work has been done on the effects of hydrostatic pressure on the energy behavior of quantum dots with multiple electrons, with the use of different geometries [8][9][10][11][12][13][14][15][16][17][18][19]. Photoluminescence measurement under high hydrostatic pressure has proven to be a useful tool for exploring the electronic structure and optical transitions in quantum dots [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation