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12 Aug 2010: Inbrief, we find a second order phase transition near d 1from the CF-BCS phase at larger d, which has zero 111order parameter (OP), to a phase with nonzero 111 OP ... mix with composite bosons (CB’s) and the presenceof CB’s yields nonzero 111 OP.

12 Aug 2010: The loop pattern op-timizes the local dipolar energy, in that each dimer is ori-ented favorably with respect to its four nearest neighbors anddue to the convergent nature of the

12 Aug 2010: As usual, the fermion op-erators have anticommutation relations ci. † , cj = i, j.

12 Aug 2010: 3 numerical operations, whereas the wave func-tions from Ref. 34 require explicit antisymmetrization, anoperation that requires much computation power with an op-eration count scaling exponentially with the system size.