Hierarchical Nature of the Quantum Hall Effects

Details Hierarchical Nature of the Quantum Hall Effects Hierarchical Nature of the Quantum Hall Effects

2011-08-08

arxiv.org/abs/1108.1624v2

Phys. Rev. Lett. 108, 066806 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages + 2 pages of supplementary material; v2: minor modifications and supplementary material added

Scientific paper

10.1103/PhysRevLett.108.066806

I demonstrate that the wavefunction for a nu = n+ tilde{nu} quantum Hall state with Landau levels 0,1,...,n-1 filled and a filling fraction tilde{nu} quantum Hall state with 0 < tilde{nu} \leq 1 in the nth Landau level can be obtained hierarchically from the nu = n state by introducing quasielectrons which are then projected into the (conjugate of the) tilde{nu} state. In particular, the tilde{nu}=1 case produces the filled Landau level wavefunctions hierarchically, thus establishing the hierarchical nature of the integer quantum Hall states. It follows that the composite fermion description of fractional quantum Hall states fits within the hierarchy theory of the fractional quantum Hall effect. I also demonstrate this directly by generating the composite fermion ground-state wavefunctions via application of the hierarchy construction to fractional quantum Hall states, starting from the nu=1/m Laughlin states.

Affiliated with

Also associated with

No associations

Rating

Hierarchical Nature of the Quantum Hall Effects 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 Hierarchical Nature of the Quantum Hall Effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchical Nature of the Quantum Hall Effects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189714