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Ground State

  • Tapash Chakraborty
  • Pekka Pietiläinen
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 85)

Abstract

As mentioned previously, in the earlier investigations of the 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 the 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. [5.1]. They investigated the eigen-states 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.

Keywords

Wave Function Filling Factor Radial Distribution Function Landau Level Filling Fraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Tapash Chakraborty
    • 1
  • Pekka Pietiläinen
    • 2
  1. 1.Institute of Mathematical SciencesTaramani, MadrasIndia
  2. 2.Dept. of Theoretical PhysicsUniversity of OuluLinnanmaa, OuluFinland

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