English

Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy

Mesoscale and Nanoscale Physics 2009-11-13 v2 Strongly Correlated Electrons

Abstract

We find the finite-width, i.e., the layer thickness, of experimental quasi-two dimensional systems produces a physical environment sufficient to stabilize the Moore-Read Pfaffian state thought to describe the fractional quantum Hall effect at filling factor ν=5/2\nu=5/2. This conclusion is based on exact calculations performed in the spherical and torus geometries, studying wavefunction overlap and ground state degeneracy

Keywords

Cite

@article{arxiv.0803.0737,
  title  = {Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy},
  author = {Michael. R. Peterson and Th. Jolicoeur and S. Das Sarma},
  journal= {arXiv preprint arXiv:0803.0737},
  year   = {2009}
}

Comments

5 pages, 3 figures, updated with published version

R2 v1 2026-06-21T10:18:45.996Z