Mustafa Doğan Sarıkaya, Bekir Çakır, Ayhan Özmen, Yusuf Yakar

Tek Elektronlu Kuantum Nokta Yapılarda Manyetik Alan Etkisinin Pertürbasyon Yöntemiyle İncelenmesi

Bu çalışmada dış manyetik alan içinde tek elektronlu kuantum nokta yapının elektronik özellikleri pertürbasyon yöntemiyle incelendi. Sonlu derinlikli potansiyelle sınırlandırılmış merkezinde hidrojen benzeri safsızlık olan tek elektronlu kuantum nokta yapı ele alındı. Kuantum Genetik Algoritma (KGA) tekniği ile bu yapı için Schrödinger denkleminin olası çözümleri bulundu. Bu çözümler kullanılarak tek elektronlu kuantum nokta yapının enerjilerinin beklenen değerleri Hartree-Fock-Roothaan Metodu (HFR) kullanılarak hesaplandı. Sistemin dalga fonksiyonları Slater Tipi Orbitallerin (STO) lineer kombinasyonu şeklinde kuruldu. Bu nokta yapının taban ve bazı uyarılmış enerji seviyelerine paramanyetik ve diamanyetik terimden gelen katkılar kuantum nokta yarıçapına bağlı olarak incelendi.

Anahtar Kelimeler:

Hartree-Fock-Roothaan Metot, Kuantum Nokta Yapı, Kuantum Genetik Algoritma, Pertürbasyon Yöntemi, Slater Tipi Orbital, Manyetik Alan

Investigation of Magnetic Field Effect onthe Quantum Dot with One Electron by Perturbation Method

In this study we investigated the effect of an external magnetic field on the electronic properties of one-electron quantum dot using perturbation method. One electron quantum dot structure with hydrogen-like impurities at the center confined by finite parabolic potential was considered. Possible solutions of the Schrödinger equation of this structure were determined by the Quantum Genetic Algorithm (QGA), and energy eigenvaules of the quantum dot were calculated by Hartree-Fock- Roothaan Method (HFR). The wave functions of the system were constructed by linear combination of Slater Type Orbitals (STO). The contribution due to the paramagnetism and diamagnetism terms to the ground and some excited energies states of this structure were investigated depending on the radius of this structures.

Keywords:

Hartree-Fock Roothaan Method, Quantum Dot, Quantum Genetic Algorithm, Perturbation Method, Slater Type Orbital, Magnetic Field,

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