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| Based on the potential energy expression for carriers in magnetic field, and
two stability conditions of circular harmonic oscillator and linear harmonic oscillator, a
new energy levels formula of Hall effects was founded, and then the unified
interpretation for quantum Hall effects of integer and fraction can be obtained. The
“filling factors” of integer quantum Hall effect and “fraction charges” of fraction
quantum Hall effect all have a corresponding energy level in new formula. The
corresponding connection between the energy level with filling factors or fraction
charges are showed by a table; the fundamental parameter of carriers on different
energy level are figured out; three models of quantum Hall effects are differentiated;
the interpretation of Hall resistance plateaus are obtained by use the velocity
distributions of carriers; further, a new viewpoint that the samples of quantum Hall
effect are the Quantum Superconductor at the same time was put forward. Based on the
spin of electron, an inverse Hall effect shall be produced when the carrier is electron. |
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| Keywords:quantum Hall effects, energy level, filling factor, fraction charge, Hall resistance plateaus |
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