2015
DOI: 10.4236/jmp.2015.65064
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Fractional Quantum Hall States for Filling Factors 2/3 < <i>ν</i> < 2

Abstract: 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 down-spin is lower than that of up-spin for electrons.… Show more

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(4 citation statements)
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“…Accordingly the classical Coulomb energy has no energy-gap and so cannot produce the plateaus of Hall resistance. The confinement of the Hall resistance comes from another reason as studied in the previous papers [6] [9] [12] [13]. The allowed transitions of electron-pairs decrease abruptly when the filling factor ν deviates from the specific filling factor 0 ν .…”
Section: Expectation Value Of the Total Hamiltonian And Its ν-Dependencementioning
confidence: 97%
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“…Accordingly the classical Coulomb energy has no energy-gap and so cannot produce the plateaus of Hall resistance. The confinement of the Hall resistance comes from another reason as studied in the previous papers [6] [9] [12] [13]. The allowed transitions of electron-pairs decrease abruptly when the filling factor ν deviates from the specific filling factor 0 ν .…”
Section: Expectation Value Of the Total Hamiltonian And Its ν-Dependencementioning
confidence: 97%
“…We already calculated the energy of electron pairs placed in the nearest orbitals by employing the perturbation calculation in the previous papers [1]- [13]. …”
Section: ν-Dependence Of the Total Energymentioning
confidence: 99%
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