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We study possible states at low temperatures by applying therenormalization-group method to two chains of Tomonaga-Luttinger liquids withboth repulsive intrachain interactions and interchain hopping. As the energydecreases below the hopping energy, three distinct regions I, III, and IIappear successively depending on properties of fluctuations. The crossover fromthe spin-density wave (SDW) state to superconducting (SC) state takes place inregion III where there are the excitation gaps of transverse charge and spinfluctuations. The competition between SDW and SC states in region III iscrucial to understanding the phase diagram in the quasi-one-dimensional organicconductors.Comment: 11 pages, Revtex format, 1 figure, to be published in Phys. Rev.

Spin-density wave versus superconducting fluctuations for quasi-one-dimensional electrons in two chains of Tomonaga-Luttinger liquids