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Competition between triplet superconductivity and antiferromagnetism in quasi-one-dimensional electron systems

Competition between triplet superconductivity and antiferromagnetism in quasi-one-dimensional electron systems

We investigate the competition between antiferromagnetism and triplet superconductivity in quasi-one-dimensional electron systems. We show that the two order parameters can be unified using a SO(4) symmetry and demonstrate the existence of such symmetry in one-dimensional Luttinger liquids of interacting electrons. We argue that approximate SO(4) symmetry remains valid even …