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

Abstract

We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $\nu =1/2+1/2$ 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.

arXiv comment4 pages, 2 figures; v2: final version, as published in journal

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