English

Paired composite fermion phase of quantum Hall bilayers at \nu = 1/2 + 1/2

Mesoscale and Nanoscale Physics 2008-10-24 v2

Abstract

We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling ν=1/2+1/2\nu=1/2 + 1/2 for intermediate spacing between the layers. We identify the phase as px+ipyp_x + i p_y pairing, and construct high accuracy trial wavefunctions to describe the groundstate on the sphere. For large distances between the layers, and for finite systems, a competing "Hund's rule" state, or composite fermion liquid, prevails for certain system sizes. We argue that for larger systems, the pairing phase will persist to larger layer spacing.

Keywords

Cite

@article{arxiv.0804.1286,
  title  = {Paired composite fermion phase of quantum Hall bilayers at \nu = 1/2 + 1/2},
  author = {Gunnar Moller and Steven H. Simon and Edward H. Rezayi},
  journal= {arXiv preprint arXiv:0804.1286},
  year   = {2008}
}

Comments

4 pages, 2 figures; v2: final version, as published in journal