Optical Properties of Semiconductor Cylindrical Quantum Dot

Abstract

In this study, the optical properties of semiconductor cylindrical quantum dots were investigated. Considering the effective mass and parabolic band approach, the energy spectrum and wave function of the semiconductor cylindrical quantum dot are calculated using the diagonalization method. With the help of energy spectrum and wave function expressions, the expression of the absorption coefficient for the optical transitions between the lower energy levels was calculated. The absorption coefficient of the semiconductor cylindrical quantum dot we obtained, as a function of the incident photon energy, has been numerically investigated according to the different values of the radius and height parameters of the cylinder. In addition, the variation of the absorption coefficient according to different values of the magnetic field was investigated. According to the results, it has been determined that the absorption coefficient of the semiconductor quantum dot is independent of the change of the magnetic field and depends on the change of the radius and height parameters of the cylinder.

Keywords

• Absorption coefficient
• Quantum dot
• Optical transitions

Yarıiletken Silindirik Kuantum Noktanın Optik Özellikleri

Abstract

Bu çalışmada yarıiletken silindirik kuantum noktanın optik özellikleri araştırılmıştır. Etkin kütle ve parabolik bant yaklaşımı dikkate alınarak yarıiletken silindirik kuantum noktanın enerji spektrumu ve dalga fonksiyonu köşegenleştirme yöntemiyle hesaplanmıştır. Elde ettiğimiz öz değer ve öz fonksiyon ifadelerini kullanarak alt enerji seviyeler arası optik geçişler için soğurma katsayısını hesaplamak için kullanılmıştır. Yarıiletken silindirik kuantum noktanın soğurma katsayısı gelen foton enerjisinin fonksiyonu olarak silindirin yarıçapı ve yüksekliği gibi parametrelerinin farklı değerlerine göre davranışı sayısal olarak araştırılmıştır. Ayrıca soğurma katsayı manyetik alanın farklı değerlerine göre değişimi araştırılmıştır. Elde edilen sonuçlara göre yarıiletken kuantum noktanın soğurma katsayısı manyetik alanın değişiminden bağımsız ve silindirin yarıçap ve yükseklik parametrelerinin değişimine bağlı olduğu görülmüştür.

Keywords

• Soğurma katsayı
• Kuantum nokta
• Optik geçişler

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