Electronic structure of two-electron quantum dot with parabolic potential

Yakar, Yusuf; Çakır, Bekir; Özmen, Ayhan

doi:10.1080/14786435.2014.1000994

Cited by 27 publications

(6 citation statements)

References 72 publications

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“…In this study, our previous study [35] is extend to three‐electron systems such as He − , Li , Be + and B ++ atoms confined by an impenetrable spherical cavity. We have reported the energies of 2 S (1s 2 2s 1 ) and 2 P (1s 2 2p 1 ) states and ɛ 1 s , ɛ 2 s and ɛ 2 p orbital energies.…”

Section: Introductionmentioning

confidence: 99%

“…By using Hartree–Fock approach, Ludeña [33] and Garza et al [34] reported the energy values for the ground state configurations of confined many‐electron atoms. The ground and excited state energies and the ionization energies of two‐electron QDs with and without parabolic potential were calculated by our group [35] by employing quantum genetic algorithm (QGA) and Hartree–Fock Roothaan (HFR) method. Similarly, for the confined helium atom, the three lowest S symmetry state energies were computed by Flores‐Riveros et al [36] by employing perturbative and variational method.…”

Section: Introductionmentioning

confidence: 99%

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Energy states, oscillator strengths and polarizabilities of many electron atoms confined by an impenetrable spherical cavity

Yakar

Çakır

Demir

et al. 2021

Int J of Quantum Chemistry

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We have calculated the ground and excited state energies and the orbital energies of three-electron atoms inside impenetrable spherical cavity. Energy eigenvalues and wavefunctions are calculated from the variational approximation method which is a combination of quantum genetic algorithm procedure and Hartree-Fock Roothaan method. In addition, the important parameters such as static and dynamic polarizability, oscillator strength and pressure have been investigated as perturbative. The results reveal that cavity radius and impurity charge have played an important role on the polarizability, the oscillator strength and pressure of the system. In addition, it is seen that when cavity radius is extremely large, all energies and the other physical parameters approach the values of a free space atom. As the dot radius decreases, the polarizability of system decreases due to the strong spatial confinement, but the pressure exerting on the system as the cavity radius R is shrunk increases. In addition, as the impurity charge increases, the oscillator strength decreases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Energy states, oscillator strengths and polarizabilities of many electron atoms confined by an impenetrable spherical cavity

Yakar

Çakır

Demir

et al. 2021

Int J of Quantum Chemistry

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“…[6][7][8][9][10][11] The underlying phenomena behind the intriguing and valuable attributes of quantum dot is Quantum Confinement and hence investigation on the origin and effect of confinement in QD have become one of the most essential and exciting forefront fields in modern sciences. [5,[12][13][14][15][16] There are several theoretical as well as experimental efforts towards proper understanding of confinement mechanism in QDs. Theoretically, a wide verity of approaches have been employed to elucidate this phenomena.…”

Section: Introductionmentioning

confidence: 99%

Quantum confinement induced shift in energy band edges and band gap of a spherical quantum dot

Borah

Siboh

Kalita

et al. 2018

Physica B: Condensed Matter

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We have proposed and validated an ansatz as effective potential for confining electron/hole within spherical quantum dot in order to understand quantum confinement and its consequences associated with energy states and band gap of Spherical Quantum Dot. Within effective mass approximation formalism, considering an ansatz incorporating a conjoined harmonic oscillator and coulomb interaction as the effective potential for confining an electron or a hole within a spherical quantum dot and by employing appropriate boundary conditions we have calculated the shifts in energy of minimum of conduction band(CBM) and maximum of valence band(VBM) with respect to size of spherical quantum dot. We have also determined the quantum confinement induced shift in band gap energy of spherical quantum dot. In order to verify our theoretical predictions as well as to validate our ansatz, we have performed phenomenological analysis in comparison with available experimental results for quantum dots made of CdSe and observe a very good agreement in this regard. Our experimentally consistent theoretical results also help in mapping the probability density of electron and hole inside spherical quantum dot. The consistency of our results with available experimental data signifies the capability as well as applicability of the ansatz for the effective confining potential to have reasonable information in the study of real nano-structured spherical systems.

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“…Safsızlık kuantum nokta yapının enerji dağılımında önemli değişikliğe neden olmakta ve optiksel özelliklerinin kontrol edilmesine imkân sağlamaktadır. Bütün bu nedenlerden dolayı son 10 yılda çeşitli araştırmacılar tarafından kuantum nokta yapıların elektronik yapısı [2][3][4][5][6], bağlanma enerjisi [7][8][9][10], optiksel [11][12][13][14][15][16][17][18] ve diğer özellikleri [19][20][21][22] gibi çeşitli parametreleri yoğun olarak çalışılmaktadır. Yukarıda belirtilen çalışmalar arasında Çakır ve ark.…”

Section: Introductionunclassified

“…Yukarıda belirtilen çalışmalar arasında Çakır ve ark. [2][3][4][5] sonlu ve sonsuz sınırlandırıcı potansiyele sahip bir ve iki elektronlu küresel kuantum nokta yapıların elektronik özelliklerini incelediler. Bose ve Sarkar [7] yüzeysel hidrojenik safsızlığın bağlanma enerjisini varyasyonel ve pertürbasyon yöntemiyle sonlu sınırlandırıcı potansiyel için hesapladılar.…”

Section: Introductionunclassified

Electronic Structure and Binding Energy of Spherical Quantum Dot

Yilmazer

Yakar

Çakır

et al. 2017

Aksaray University Journal of Science and Engineering

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In this study, we have calculated the energy states and the wavefunctions of the spherical quantum dot with finite and infinite confining potential. In addition, we have investigated the binding energies of the ground and excited states of the spherical quantum dot as a function of dot radius. In order to calculate the energy eigenvalues and the wavefunctions Quantum Genetic Algorithm and Hartre-Fock Roothaan method have been employed. The results show that dot radius and confinement potential has a great effect on the energy states and binding energies.In large dot radii, the effect of confinement potential on energy states is disappeared and energy states go to the energy values of hydrogen atom. ÖzetBu çalışmada sonlu ve sonsuz sınırlandırıcı potansiyele sahip küresel kuantum nokta yapının taban ve bazı uyarılmış enerji seviyeleri ve dalga fonksiyonları hesaplandı. Bununla beraber taban ve çeşitli uyarılmış durumlarının bağlanma enerjileri nokta yapının yarıçapına bağlı olarak incelendi. Enerji öz değerlerini ve öz fonksiyonlarını hesaplamak için Kuantum Genetik Algoritma ve Hartree-Fock Roothaan metodu kullanılmıştır. Sonuçlar göstermiştir ki kuantum nokta yapının enerji seviyeleri üzerinde yarıçapın ve sınırlandırıcı potansiyelin büyük etkisi vardır. Buna karşılık büyük nokta yarıçaplarında sınırlandırıcı potansiyelin etkisinin ortadan kalktığı ve enerji seviyelerinin hidrojen atomunun değerlerine gittiği görüldü.

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Electronic structure of two-electron quantum dot with parabolic potential

Cited by 27 publications

References 72 publications

Energy states, oscillator strengths and polarizabilities of many electron atoms confined by an impenetrable spherical cavity

Energy states, oscillator strengths and polarizabilities of many electron atoms confined by an impenetrable spherical cavity

Quantum confinement induced shift in energy band edges and band gap of a spherical quantum dot

Electronic Structure and Binding Energy of Spherical Quantum Dot

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