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Variational Hartree-Fock Ground-State Energy for a Two-Dimensional Wigner Crystal Induced by a Strong Magnetic Field |
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Szu-Cheng Cheng
Department of Physics, Chinese Culture University, Taipei, Taiwan 111, R.O.C. (Received September 12, 1997) |
| We study the variational Hartree-Fock ground-state energy for a two-dimensional Wigner crystal induced by a strong magnetic field in the fractional quantum Hall effect regime. Effects of inter-Landau-level mixing on the total energy are considered. Exchange energies from inter-Landau level mixing are estimated. Our results show that the exchange effect from Landau-level mixing is not small. It has the same order of magnitude of lowering the Wigner crystal energy as the correlation effect from Landau-level mixing does. If both effects are considered, the Wigner crystal state is more stable than the incompressible fluid state in the low density or large effective mass regime. |
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