Abstract
As mentioned previously, in the earlier investigations of FQHE, the crucial question was the nature of the ground state. As the GaAs-heterostructures where the FQHE was discovered have very high electron mobility, and because of the subsequent discovery of FQHE only in high-mobility Si-MOSFETs, the Coulomb interaction between electrons was quite naturally expected to play a dominant role in the FQHE. The earliest numerical calculation of the ground state including Coulomb interactions for various filling fractions was by Yoshioka et al. [2.1]. They investigated the eigenstates of an electron system in a periodic rectangular geometry, by numerically diagonalizing the Hamiltonian. Their results, as we shall discuss in the following section, revealed several interesting features; the most important result was, of course, that the ground state had a significantly lower energy than that of a Hartree-Fock (HF) Wigner crystal.
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Chakraborty, T., Pietiläinen, P. (1988). Ground State. In: The Fractional Quantum Hall Effect. Springer Series in Solid-State Sciences, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97101-3_2
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DOI: https://doi.org/10.1007/978-3-642-97101-3_2
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