A direct connection between quantum Hall plateaus and exact pair states in a 2D electron gas

作者：Hai, Wenhua^*; Li, Zejun; Xiao, Kewen

来源：Central European Journal of Physics, 2011, 9(6): 1509-1517.

DOI：10.2478/s11534-011-0069-5

• quantum Hall effect
• hydrogen pseudo-atom
• band-like structure
• exact pair state
• 2D electron gas

It is previously found that the two-dimensional (2D) electron-pair in a homogeneous magnetic field has a set of exact solutions for a denumerably infinite set of magnetic fields. Here we demonstrate that as a function of magnetic field a band-like structure of energy associated with the exact pair states exists. A direct and simple connection between the pair states and the quantum Hall effect is revealed by the band-like structure of the hydrogen "pseudo-atom". From such a connection one can predict the sites and widths of the integral and fractional quantum Hall plateaus for an electron gas in a GaAs-Al(x)Ga(1-x)As heterojunction. The results are in good agreement with the existing experimental data.

• 出版日期2011-12
• 单位湖南师范大学