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

Moller, Gunnar; Simon, Steven H.; Rezayi, Edward H.

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

Authors

Moller, Gunnar

Simon, Steven H.

Rezayi, Edward H.

Description

We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $ν=1/2 + 1/2$ for intermediate spacing between the layers. We identify the phase as $p_x + i p_y$ 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.
4 pages, 2 figures; v2: final version, as published in journal