Spin-orbit coupling and odd-parity superconductivity in the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$

Abstract

Previous theoretical studies [W. Cho, C. Platt, R. H. McKenzie, and S. Raghu, Phys. Rev. B 92, 134514 (2015); N. Lera and J. V. Alvarez, Phys. Rev. B 92, 174523 (2015)] have suggested that Li${}_{0.9}$Mo${}_6$O${}_{17}$, a quasi-one dimensional "purple bronze" compound, exhibits spin-triplet superconductivity and that the gap function changes sign across the two nearly degenerate Fermi surface sheets. We investigate the role of spin-orbit coupling (SOC) in determining the symmetry and orientation of the $d$-vector associated with the superconducting order parameter. We propose that the lack of local inversion symmetry within the four-atom unit cell leads to a staggered spin-orbit coupling analogous to that proposed for graphene, MoS${}_2$, or SrPtAs. In addition, from a weak-coupling renormalization group treatment of an effective model Hamiltonian, we find that SOC favors the odd parity $A_{1u}$ state with $S_z=\pm 1$ over the $B$ states with $S_z=0$, where $z$ denotes the least-conducting direction. We discuss possible definitive experimental signatures of this superconducting state.

References in corpus (26)

• Quantum Spin Hall Effect in Graphene
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Renormalization Group Approach to Interacting Fermions
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Observation of half-height magnetization steps in Sr2RuO4
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Sublattice Interference in the Kagome Hubbard Model
• Superconductivity in quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$ with significant electron correlations
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Chiral $d$-wave Superconductivity in SrPtAs
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Pairing symmetry and dominant band in Sr2RuO4
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• Theory of superconductivity in a three-orbital model of Sr${}_2$RuO${}_4$
• NMR Investigation of the Quasi One-dimensional Superconductor K${}_2$Cr${}_3$As${}_3$
• Superconductivity and local non-centrosymmetricity in crystal lattices
• Possible Triplet Electron Pairing and an Anisotropic Spin Susceptibility in Organic Superconductors (TMTSF)_2 X
• Band-structure effects on superconductivity in Hubbard models
• Luttinger liquid theory of purple bronze $L{i}_{0.9}M{o}_6{O}_{17}$ in the charge regime
• Photoemission Spectroscopy and the Unusually Robust One Dimensional Physics of Lithium Purple Bronze
• Effective Hamiltonian for the electronic properties of the quasi-one-dimensional material Li0.9Mo6O17
• Effective model for electronic properties of the quasi one-dimensional purple bronze Li0.9Mo6O17 based on ab-initio calculations
• Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr${}_2$RuO${}_4$
• Spin-triplet superconductivity in a weak-coupling Hubbard model for the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Triplet superconductivity in a model of Li${}_{0.9}$Mo${}_6$O${}_{17}$

Cited by in corpus (4)

• Unconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group
• Spin-orbit coupled superconductivity: Rashba-Hubbard model on the square lattice
• Topological superconductivity on the honeycomb lattice: Effect of normal state topology
• Wannier-Orbital theory and ARPES for the quasi-1D conductor LiMo${}_6$O${}_{17}$