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Finite-temperature Néel transition in the (2+1)-dimensional infinite-N CPN-1 model with one periodic spatial dimension.

We consider the finite-temperature Neel transition of the (2+1)-dimensional infinite-[ital N] CP[sup [ital N][minus]1] model with one periodic (or finite) spatial dimension by the effective-potential method. Long-range Neel order (LRNO) and the equation of the critical line are obtained. Our model has a region in the phase diagram where LRNO appears.