Fractional quantum Hall effect within the relativistic formalism

被引：0
|
作者：
H. Hassanabadi
S. Rahmani
B. Lari
H. Rezazadeh
机构：
[1] Shahrood University,Physics Department
[2] Islamic Azad University,Department of Sciences
[3] Ahvaz Branch,Department of Sciences
[4] Islamic Azad University,undefined
[5] Abadan Branch,undefined
来源：
The European Physical Journal Plus | / 129卷 / 10期
关键词：
Dirac Equation; Gallium Arsenide; Fractional Quantum; Electron Drift Velocity; Fractional Charge;
D O I：
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中图分类号：
学科分类号：
摘要：
Applying Dirac equation with an external magnetic field we find the wave function of electrons in two dimensions. We study the fractional quantum Hall effect using the obtained wave function and we find the current, resistance and Hall’s voltage for the arbitrary n, λ quantum numbers. Furthermore, we have shown a magnetic field, in which Hall’s electric field can be minimum.
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