Physics – Condensed Matter
Scientific paper
1994-01-03
Physics
Condensed Matter
10 pages, LATEX-file
Scientific paper
In the hierarchical theory of the fractional quantum Hall effect, the low--energy behaviour of a daughter state in the next level of the hierarchy is described by an interacting system of quasiparticles of the parent state. Taking the filled lowest Landau level as the parent state, we examine analytically the quantitative consequences of this approach for electrons interacting via a pseudopotential interaction. It is shown that the ground state energy per particle in the daughter state at a filling factor $2/3$ is exactly equal to that of a system of quasiholes in the parent state with half filling, precisely as predicted by the hierarchical approach. This is achieved with {\em only up to two--particle interactions} in the effective Hamiltonian for the quasiholes. Their single particle energy and two--particle interaction are derived. The results are generalized to the other filling factors attainable from the filled Landau level.
No associations
LandOfFree
Test of the hierarchical theory for the FQHE does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Test of the hierarchical theory for the FQHE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Test of the hierarchical theory for the FQHE will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-567985