Ground State of Two-Dimensional Electrons in Strong Magnetic Fields andQuantized Hall Effect
- 18 April 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (16), 1219-1222
- https://doi.org/10.1103/physrevlett.50.1219
Abstract
The authors have diagonalized numerically the Hamiltonian of a two-dimensional system of up to six interacting electrons, in the lowest Landau level, in a rectangular box with "periodic" boundary conditions. They find that the ground state has a pair correlation function quite different from that of a Wigner crystal, and its energy is significantly lower. They also find some indications of a downward cusp in the energy at filling.
Keywords
This publication has 12 references indexed in Scilit:
- Ground-state energy of a two-dimensional charge-density-wave state in a strong magnetic fieldPhysical Review B, 1983
- Hall conductivity of two-dimensional electrons in a periodic potentialPhysical Review B, 1983
- Two-Dimensional Magnetotransport in the Extreme Quantum LimitPhysical Review Letters, 1982
- Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potentialPhysical Review B, 1982
- Coulomb correlations and the quantum Hall effectPhysical Review B, 1982
- Localisation and the two-dimensional Hall effectJournal of Physics C: Solid State Physics, 1981
- Effect of localization on the hall conductivity in the two-dimensional system in strong magnetic fieldsSolid State Communications, 1981
- Quantized Hall conductivity in two dimensionsPhysical Review B, 1981
- New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall ResistancePhysical Review Letters, 1980
- Some static and dynamical properties of a two-dimensional Wigner crystalPhysical Review B, 1977