Podolsky, DanielAltman, EhudRostunov, TimofeyDemler, Eugene2016-08-242004Podolsky, Daniel, Ehud Altman, Timofey Rostunov, and Eugene Demler. 2004. “SO(4) Theory of Antiferromagnetism and Superconductivity in Bechgaard Salts.” Physical Review Letters 93 (24) (December 6). doi:10.1103/physrevlett.93.246402.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:27899427Motivated 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, demonstrating the existence of such symmetry in one-dimensional Luttinger liquids. SO(4) symmetry strongly constrains the phase diagram, leading to coexistence regions of antiferromagnetic, superconducting, and normal phases, as observed in TMTSF2PF6. We predict a sharp neutron scattering resonance in superconducting samples.en-USJournal Article2016-08-2410.1103/PhysRevLett.93.246402