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.
ASJC Scopus subject areas
- Condensed Matter Physics