Superfluid dynamics of the fractional quantum Hall state
- 1 July 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 42 (1) , 212-217
- https://doi.org/10.1103/physrevb.42.212
Abstract
The fractional quantum Hall effect is due to a novel state of matter with properties reminiscent of superfluidity. I derive the Euler equation and the quantum constraint that together determine the dynamics of the superfluid. I then use these equations to explain the incompressibility of the liquid, to describe the magnetophonon excitations, and to study the forces acting on vortices whose pinning is responsible for the plateaus in the Hall resistance.Keywords
This publication has 18 references indexed in Scilit:
- Mechanism of plateau formation in the quantum Hall effectZeitschrift für Physik B Condensed Matter, 1989
- Effective-Field-Theory Model for the Fractional Quantum Hall EffectPhysical Review Letters, 1989
- Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall EffectPhysical Review Letters, 1989
- The mechanism of plateau formation in the fractional quantum Hall effectJournal of Physics C: Solid State Physics, 1988
- Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effectPhysical Review Letters, 1987
- Fractional quantum Hall effect at low temperaturesPhysical Review B, 1983
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- The motion of flux lines in type II superconductorsPhilosophical Magazine, 1966
- Theory of the Motion of Vortices in SuperconductorsPhysical Review B, 1965