SO(4) Theory of Competition between Triplet Superconductivity and Antiferromagnetism in Bechgaard Salts

Details SO(4) Theory of Competition between Triplet Superconductivity and Antiferromagnetism in Bechgaard Salts SO(4) Theory of Competition between Triplet Superconductivity and Antiferromagnetism in Bechgaard Salts

2004-03-16

arxiv.org/abs/cond-mat/0403406v3

Phys. Rev. Lett. 93, 246402 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures; Added discussion of applicability of SO(4) symmetry for strongly anisotropic Fermi liquids; Added referenc

Scientific paper

10.1103/PhysRevLett.93.246402

Motivated by recent experiments with Bechgaard salts, we investigate the competition between antiferromagnetism and triplet superconductivity in quasi one-dimensional electron systems. We unify the two orders in an SO(4) symmetric framework, and demonstrate the existence of such symmetry in one-dimensional Luttinger liquids. SO(4) symmetry, which strongly constrains the phase diagram, can explain coexistence regions between antiferromagnetic, superconducting, and normal phases, as observed in (TMTSF)$_2$PF$_6$. We predict a sharp neutron scattering resonance in superconducting samples.

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