Stormer, H.L. and Tsui, D.C. (2007) Composite Fermions in the Fractional Quantum Hall Effect. In: Das Sarma, S. and Pinczuk, A., Eds., Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures, Wiley, New York, 385-421.
http://dx.doi.org/10.1002/9783527617258

has been cited by the following article:

• TITLE: Fractional Quantum Hall States for Filling Factors 2/3 ν

  AUTHORS: Shosuke Sasaki

  KEYWORDS: Fractional Quantum Hall Effect, 2D Electron System, Quantum Theory

  JOURNAL NAME: Journal of Modern Physics, Vol.6 No.5, April 10, 2015

  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. So, all the Landau orbitals in the lowest level are occupied by the electrons with down-spin in a strong magnetic field at 1 ν . On the other hand, the Landau orbitals are partially occupied by up-spins. Two electrons with up-spin placed in the nearest orbitals can transfer to all the empty orbitals of up-spin at the specific filling factors and so on. When the filling factor ν deviates from ν0, the number of allowed transitions decreases abruptly in comparison with that at ν0. This mechanism creates the energy gaps at ν0. 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 .