Abstract
Assuming a one-dimensional electron band and examining the free energy difference δF (=FS−FN) for an antiferromagnetic superconductor in the presence of a homogeneous magnetic field H0, it is shown that (i) for temperatureT=0, the spatially varying order parameter Δ Q (having the same period as the antiferromagnetic fieldHQ) and the BCS order parameter Δ coexist when |Δ−HQ≤H0<Δ+HQ (here, the pairing coupling constant for Δ Q is assumed small), and (ii) forT near the second-order phase transition temperature the coexistence of Δ Q and Δ is always realized whenH0≠0.
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