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.

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

References in corpus (2)

• Paired composite fermion wavefunctions
• Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study

Cited by in corpus (2)

• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Fractional quantum Hall state at ν=1/4 in a wide quantum well