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

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

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

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arxiv 0804.1286 v2 pith:CB2OWQT3 submitted 2008-04-08 cond-mat.mes-hall

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

Gunnar Moller , Steven H. Simon , Edward H. Rezayi This is my paper

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keywords compositefermionpairingphasesystemshalllargerlayers

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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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