Fractional quantum Hall effect in two-layered systems
- 15 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (3), 1932-1935
- https://doi.org/10.1103/physrevb.39.1932
Abstract
The ground-state wave function is investigated at strong magnetic field for a system that consists of two parallel two-dimensional electron systems, which are coupled by the Coulomb interaction. Ground-state wave functions for finite-size systems on a sphere are obtained numerically and compared with Jastrow-type wave functions at Landau-level filling factors ν=1, (1/2, (2/5, and (1/3. It is shown that the layer separations at which Jastrow-type wave functions give a good approximation to the ground state are filling-factor dependent.Keywords
This publication has 14 references indexed in Scilit:
- Spin-singlet wave function for the half-integral quantum Hall effectPhysical Review Letters, 1988
- Fractional Quantum Hall Effect at Half-Filled Landau Level in a Multiple-Layer Electron SystemPhysical Review Letters, 1987
- Observation of an even-denominator quantum number in the fractional quantum Hall effectPhysical Review Letters, 1987
- Excitation Spectrum of the Fractional Quantum Hall Effect: Two Component Fermion SystemJournal of the Physics Society Japan, 1986
- Raman Scattering by Coupled-Layer Plasmons and In-Plane Two-Dimensional Single-Particle Excitations in Multi-Quantum-Well StructuresPhysical Review Letters, 1986
- Discrete Plasmons in Finite Semiconductor MultilayersPhysical Review Letters, 1986
- Finite-Size Studies of the Incompressible State of the Fractionally Quantized Hall Effect and its ExcitationsPhysical Review Letters, 1985
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Two-Dimensional Magnetotransport in the Extreme Quantum LimitPhysical Review Letters, 1982
- Group Theory and its Applications to Physical ProblemsAmerican Journal of Physics, 1962