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

Abstract

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.

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

References in corpus (16)

• Order and quantum phase transitions in the cuprate superconductors
• Mott transition, antiferromagnetism, and unconventional superconductivity in layered organic superconductors
• Plaquette Boson-Fermion Model of Cuprates
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Magnetic Determination of $H_{c2}$ under Accurate Alignment in (TMTSF)${}_2$ClO${}_4$
• High Temperature Superconductivity
• An SO(5) model of p-wave superconductivity and ferromagnetism
• Pi excitation of the t-J model
• Where is the pi particle?
• Superconductivity and Charge Density Wave in a Quasi-One-Dimensional Spin Gap System
• Exact realization of SO(5) symmetry in extended Hubbard models
• Suppression of superconductivity by non-magnetic disorder in the organic superconductor (TMTSF)2(ClO4)(1-x)(ReO4)x
• Coexistence or Separation of the Superconducting, Antiferromagnetic, and Paramagnetic Phases in Quasi One-Dimensional (TMTSF)2PF6 ?
• Multicritical Phenomena of Superconductivity and Antiferromagnetism in Organic Conductor $\kappa$-(BEDT-TTF)${}_2$X
• Coexistence of Superconductivity and Antiferromagnetism in Heavy-Fermion Superconductor CeCu_{2}(Si_{1-x}Ge_{x})_{2} Probed by Cu-NQR --A Test Case for the SO(5) Theory--
• Superconductor-to-Spin-Density-Wave Transition in Quasi-One-Dimensional Metals with Ising Anisotropy

Cited by in corpus (14)

• Pairing Symmetry Competition in Organic Superconductors
• Properties and Detection of Spin Nematic Order in Strongly Correlated Electron Systems
• Coexistence of Superconductivity and Antiferromagnetism Probed by Simultaneous NMR and Electrical Transport in (TMTSF)2PF6
• Domain walls at the spin density wave endpoint of the organic superconductor (TMTSF)2PF6 under pressure
• Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling
• Competing Orders and Hidden Duality Symmetries in Two-leg Spin Ladder Systems
• Resonant Nernst effect in the metallic and field-induced spin density wave states of (TMTSF)2ClO4
• Coexistence of Superconductor and Spin-Density Wave in (TMTSF)2ClO4: Spatial Structure of the Two-phase State
• Coexistence of Triplet Superconductivity and Spin Density Wave
• Role of Anion Ordering in the Coexistence of Spin-Density-Wave and Superconductivity in (TMTSF)2ClO4
• Topological signatures of the coexistence of antiferromagnetism and odd-parity spin-triplet superconductivity
• Accessing topological superconductivity via a combined STM and renormalization group analysis
• Microscopic theory of a superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)${}_2$ClO${}_4$: Model derivation and two-particle self-consistent analysis
• Evolution of shape and volume fraction of superconducting domains with temperature and anion disorder in (TMTSF)${}_2$ClO${}_4$