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We have found the exact ground state for two electronic models on a linearchain. The first model describes half-filling electron system in theferromagnet--antiferromagnet transition point. In the singlet ground state thespin correlators show giant spiral magnetic ordering with the period of aspiral equals to the system size. The second electronic model describes thepoint where the ground state has giant spiral off-diagonal long-range orderand, therefore, superconducting. We suggest the formation of the ground statewith giant spiral order (ferromagnetic or off-diagonal) as a probable scenarioof the subsequent destruction of the ferromagnetism and the superconductivity.Comment: 13 pages, 1 figur

Exact ground state for one-dimensional electronic models