Stable Superconducting State in the Presence of Spin Density Waves in URu2Si2

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Abstract
We investigate theoretically a stable superconducting state in the presence of the spin density wave (SDW). First we enumerate possible pairing states both with odd- and even-parity under two-dimensional square symmetry and classify them into two classes less competitive and competitive witn SDW. Setting up a model Hamiltonian with imperfect nesting Fermi surface, we calculate physical properties of these states. Experimental relevance to URu2Si2 is briefly discussed. It is concluded that the state developed is highly unlikely to be isotropic singlet pairing and should be anisotropic state with even or odd parity.

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