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

Year 2017, Volume: 43 Issue: 1, 75 - 90, 28.04.2017

Mustafa Doğan Sarıkaya , Bekir Çakır Ayhan Özmen Yusuf Yakar

Abstract

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

Tek Elektronlu Kuantum Nokta Yapılarda Manyetik Alan Etkisinin Pertürbasyon Yöntemiyle İncelenmesi

Abstract

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.

Keywords

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

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