Physics – General Physics
Scientific paper
2011-07-05
Physics
General Physics
Latex, 9 pages
Scientific paper
Integer and fractional quantum Hall effects were studied with different physics models and explained by different physical mechanisms. In this paper, the common physical mechanism for integer and fractional quantum Hall effects is studied, where a new unified formulation of integer and fractional quantum Hall effect is presented. Firstly, we introduce a 2-dimensional ideal electron gas model in the presence of strong magnetic field with symmetry gauge, and the transverse electric filed $\varepsilon_2$ is also introduced to balance Lorentz force. Secondly, the Pauli equation is solved where the wave function and energy levels is given explicitly. Thirdly, after the calculation of the degeneracy density for 2-dimensional ideal electron gas system, the Hall resistance of the system is obtained, where the quantum Hall number $\nu$ is introduced. It is found that the new defined $\nu$, called filling factor in the literature, is related to radial quantum number n and angular quantum number $|m|$, the different $n$ and $|m|$ correspond to different $\nu$. This provides unification explaination for integer and fractional quantum Hall effects. It is predicated that more new cases exist of fractional quantum Hall effects without the concept of fractional charge.
Li Kang
Long Shuming
Wang Jianhua
Yuan Yi
No associations
LandOfFree
Common physical mechanism for integer and fractional quantum Hall effects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Common physical mechanism for integer and fractional quantum Hall effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Common physical mechanism for integer and fractional quantum Hall effects will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-475759