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

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

2008-04-08

arxiv.org/abs/0804.1286v2

Phys. Rev. Lett. 101, 176803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevLett.101.176803

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.

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