Author/Authors :
ALAN, Seyfettin Süleyman Demirel Üniversitesi - Fen Edebiyat Fakültesi - Matematik Bölümü, Turkey , BABANLI, Arif Süleyman Demirel Üniversitesi - Fen Edebiyat Fakültesi - Fizik Bölümü, Turkey
Title Of Article :
Quantum Hall Conductivity on Cone Surface Made of Semi-Magnetic Semiconductor
Abstract :
In this work we obtain the Landau levels and the Hall conductivity at zero temperature of a two dimensional electron gas on a conical surface. Differences of quantum Hall conductivity by magnetic surface is ladder characteristic and step length change according to magnetic field strength. This step height is e^2/h. In this work we obtain the quantum Hall conductivity with two different approaches because of specific condition on the top of cone. First approach takes a real cone and effective scalar potential is calculated proportionally to the Gaussian curvature of the surface. The other approach takes a mathematical cone and effective potential is calculated proportionally to both the Gaussian curvature and singular curvature of the surface.
NaturalLanguageKeyword :
Quantum Hall conductivity , Semi , magnetic Semiconductors , Landau levels , Gaussian curvature.
JournalTitle :
Journal Of Natural and Applied Sciences
