Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effect
- 15 June 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 29 (12), 6833-6839
- https://doi.org/10.1103/physrevb.29.6833
Abstract
Finite-size two-dimensional systems are investigated by numerical diagonalization of the Hamiltonian. Both fermion systems and boson systems are investigated. The energy of the liquidlike ground state of the fermion system shows a downward cusp at filling of the lowest Landau level. This behavior is consistent with the observed fractional quantum Hall effect. The short-range behavior of the pair distribution function of the ground state is analyzed and good agreement with Laughlin's trial wave function is obtained.
Keywords
This publication has 12 references indexed in Scilit:
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Remarks on the Laughlin theory of the fractionally quantized Hall effectPhysical Review B, 1983
- Fractional quantization of Hall conductancePhysical Review B, 1983
- Fractional Quantization of the Hall EffectPhysical Review Letters, 1983
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Ground State of Two-Dimensional Electrons in Strong Magnetic Fields andQuantized Hall EffectPhysical Review Letters, 1983
- Ground-state energy of a two-dimensional charge-density-wave state in a strong magnetic fieldPhysical Review B, 1983
- Two-Dimensional Magnetotransport in the Extreme Quantum LimitPhysical Review Letters, 1982
- Charge Density Wave State of Two-Dimensional Electrons in Strong Magnetic FieldsJournal of the Physics Society Japan, 1979
- Two-dimensional electron gas in a strong magnetic fieldPhysical Review B, 1979