The quantum Hall effect

بررسی اثر صحیح کوانتومی هال در سیستمهای دارای ناخالصی به روش تبدیل پیمانه‌ای در حضور نقطه‌های کوانتومی

In this paper we study the integer quantum Hall effect (IQHE) on the systems with different types of impurities in delta and gaussian forms. The Landau energy levels in the presence of impurity split in two different levels,the extended and localized levels, emerging then the Hall step. Finally, we add a specified form of a quantum dot potential to a system with impurity, and observed that incr...

پاسخ ترازهای لاندائو به تغییر شار در ناخالصیهای ناهمسانگرد

  We have studied a practical approach for the inclusion of non-isotropic impurities in the systems showing integer quantum Hall effect. We observe that if the impurity distribution in the direction which the electric field applys, then the localized levels goes out from the origin with respect to the isotropic case, and the Hall step will the clearly observed.

شبیه سازی اثر بی نظمی و میدان مغناطیسی بر ترابرد کوانتومی نانوساختارهای دو بعدی مدل شده با تقریب تنگابست

 In recent years, semiconductor nanostructures have become the model systems of choice for investigation of electrical conduction on short length scales. Quantum transport is studied in a two dimensional electron gas because of the combination of a large Fermi wavelength and large mean free path. In the present work, a numerical method is implemented in order to contribute to the understanding ...

Quantum Hall Dynamics on Von Neumann Lattice

h in quantum Hall regime of the system of interactions and disorders. This shows that a determination of the fine structure constant from integer quantum Hall effect is in fact possible. We present also a unified mean field theory of the fractional Hall effect for the in-compressible quantum liquid states based on flux condensation and point out that the known Hofstadter butterfly spectrum of t...

Observation of the fractional quantum Hall effect in GaAs-(Ga,A1)As quantum well structures

The Fractional Quantum Hall Effect

Their citation reads “ for their discovery of a new form of quantum fluid with fractionally charged excitations”. In this talk, I will try to describe this new form of quantum fluid and its fractionally charged excitations. However, since I am speaking to a general audience and the phenomenon of the fractional quantum Hall effect may not be familiar to all, I will start my talk with a brief int...