Strong-coupling electron-phonon superconductivity in noncentrosymmetric quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$

Abstract

I study the lattice dynamics and electron-phonon coupling in non-centrosymmetric quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$ using density functional theory based first principles calculations. The phonon dispersions show stable phonons without any soft-mode behavior. They also exhibit features that point to a strong interaction of K atoms with the lattice. I find that the calculated Eliashberg spectral function shows a large enhancement around 50 cm${}^{-1}$. The phonon modes that show large coupling involve in-plane motions of all three species of atoms. The $\mathbf{q}$ dependent electron-phonon coupling decreases strongly away from the $q_z=0$ plane. The total electron-phonon coupling is large with a value of ${\lambda }_{\text{ep}}=3.0$, which readily explains the experimentally observed large mass enhancement.

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• Multiband one-dimensional electronic structure and spectroscopic signature of Tomonoga-Luttinger liquid behavior in K${}_2$Cr${}_3$As${}_3$
• Nodal superconducting gap structure in the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$ investigated using $\mu$SR measurements
• Coupling of structure to magnetic and superconducting orders in quasi-one-dimensional ${\text{K}}_2{\text{Cr}}_3{\text{As}}_3$
• Peculiar properties of Cr${}_3$As${}_3$-chain-based superconductors
• ${}^{133}$Cs and ${}^{75}$As NMR investigation of the normal metallic state of the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$
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• Tuning interchain ferromagnetic instability in A2Cr3As3 ternary arsenides by chemical pressure and uniaxial strain
• Superconductivity in the regime of attractive interactions in the Tomonaga-Luttinger liquid
• The upper critical field and its anisotropy in RbCr${}_3$As${}_3$
• Hydrogen Doping Induced $p_x\pm i{p}_y$ Triplet Superconductivity in Quasi-One-Dimensional K${}_2$Cr${}_3$As${}_3$