
Fractional Quantum Hall States for Filling Factors 2/3 < ν < 2Fractional Quantum Hall States for Filling Factors 2/3 < ν < 2 
"/Sasaki, Shosuke/"Sasaki, Shosuke
6
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5
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, pp.584

600 , 201504 , Scientific Research Publishing
ISSN:215311962153120X
Description
Fractional quantum Hall effect (FQHE) is investigated by employing normal electrons and the fundamental Hamiltonian without any quasi particle. There are various kinds of electron configurations in the Landau orbitals. Therein only one configuration has the minimum energy for the sum of the Landau energy, classical Coulomb energy and Zeeman energy at any fractional filling factor. When the strong magnetic field is applied to be upward, the Zeeman energy of downspin is lower than that of upspin for electrons. So, all the Landau orbitals in the lowest level are occupied by the electrons with downspin in a strong magnetic field at 1 <ν < 2 . On the other hand, the Landau orbitals are partially occupied by upspins. Two electrons with upspin placed in the nearest orbitals can transfer to all the empty orbitals of upspin at the specific filling factors ν_0 = 3 − 1 2 − 1 , (4 j + 1) (2 j + 1) and so on. When the filling factor ν deviates from ν_0 , the number of allowed transitions decreases abruptly in comparison with that at ν_0 . This mechanism creates the energy gaps at ν_0 . These energy gaps yield the fractional quantum Hall effect. We compare the present theory with the composite fermion theory in the region of 2 3 <ν < 2 .
FullText
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