İki Farklı Metalik Kapı Yöntemiyle Oluşturulan Hall Bar’daki Sıkıştırılamaz Şeritlerin Kalınlıkları ve Elektron Hızı

Bu çalışmada, üç boyutlu hetero yapılarda oluşturulan iki boyutlu elektron sistemi üzerinde metalik kapılar kullanılarak tanımlanabilen Hall bar geometrisi, iki farklı kapı yöntemi için incelenmiştir. Hesaplamalarda üç boyutlu Poisson denklemi, kendinden tutarlı çözülerek elektron yoğunluğunun ve potansiyel profilinin iki boyutlu uzaysal dağılımları belirlenmiştir. Dik bir manyetik alan varlığında, her iki kapı yöntemi ile elde edilen elektron dağılımlarında oluşan sıkıştırılamaz şeritlerin yerleri, kalınlıkları ve bu bölgelerdeki elektronların hızları manyetik alanın bir fonksiyonu olarak sunulmuştur. Manyetik alanın artması ile Sıkıştırılamaz Şeritlerin kalınlıklarının arttığı ve bu bölgelerdeki elektronların hızlarının azaldığı görülmektedir. Yapılan hesaplamaların sonuçları, daha önce yapılmış çalışmalar ile uyumludur. Aynı zamanda, çalışmanın, kuantum sensörler ve bilgisayarlar alanında katkı sunacağı düşünülmektedir.

Anahtar Kelimeler:

Kuantum Hall etkisi, İki boyutlu elektron sistemi, Sıkıştırılamaz şerit

Thicknesses and Electron Velocity of Incompressible Strips in The Hall Bar Formed by The Two Different Metallic Gate Method

In this study, Hall bar Geometry, which can be defined using metallic gates on a two-dimensional electron system formed in three-dimensional heterostructures, was investigated for two different gate methods. In the calculations, the two-dimensional spatial distributions of the electron density and potential profile were determined by solving the three-dimensional Poisson equation in a self-consistent manner. In the presence of a perpendicular magnetic field, the locations of the incompressible strips formed in the electron distributions obtained by both gate methods, thicknesses and velocities of the electrons in these regions has been presented as a function of the magnetic field. It is seen that the thickness of the Incompressible Strips increases with the increase of the magnetic field and the velocity of the electrons in these regions decreases. The results of the calculations are in agreement with previous studies. At the same time, it is thought that the study will contribute in the field of quantum sensors and computers.

Keywords:

Quantum Hall effect, two-dimensional electron system, incompressible strip,

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