Formation of Molecular-Orbital Bands in a Twisted Hubbard Tube: Implications for Unconventional Superconductivity in K2Cr3As3

Abstract

We study a twisted Hubbard tube modeling the [CrAs] structure of quasi-one-dimensional superconductors A2Cr3As3 (A = K, Rb, Cs). The molecular-orbital bands emerging from the quasi-degenerate atomic orbitals are exactly solved. An effective Hamiltonian is derived for a region where three partially filled bands intersect the Fermi energy. The deduced local interactions among these active bands show a significant reduction compared to the original atomic interactions. The resulting three-channel Luttinger liquid shows various interaction-induced instabilities including two kinds of spin-triplet superconducting instabilities due to gapless spin excitations, with one of them being superseded by the spin-density-wave phase in the intermediate Hund's coupling regime. The implications of these results for the alkali chromium arsenides are discussed.

5 pages + 3 figures + Supplemental Material

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• Superconductivity in the vicinity of antiferromagnetic order in CrAs
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• Triplet $p_z$-wave pairing in quasi one dimensional A${}_2$Cr${}_3$As${}_3$ superconductors
• Anisotropic $H_{c2}$, thermodynamic and transport measurements, and pressure dependence of $T_c$ in K${}_2$Cr${}_3$As${}_3$ single crystals
• Magnetism in Quasi-One-Dimensional A${}_2$Cr${}_3$As${}_3$ (A=K,Rb) superconductors
• Reversible tuning of superconductivity in pressurized qausi-one-dimensional A2Cr3As3 (A=K and Rb)

Cited by in corpus (33)

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• Multiband one-dimensional electronic structure and spectroscopic signature of Tomonoga-Luttinger liquid behavior in K${}_2$Cr${}_3$As${}_3$
• Tuning the distance to a possible ferromagnetic quantum critical point in A2Cr3As3
• Superconductivity at 7.3 K in the 133-type Cr-based RbCr3As3 single crystals
• Nodal superconducting gap structure in the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$ investigated using $\mu$SR measurements
• Temperature and Angular Dependence of the Upper Critical Field in K${}_2$Cr${}_3$As${}_3$
• Synthesis, crystal structure and physical properties of quasi-one-dimensional ACr${}_3$As${}_3$ (A = Rb, Cs)
• Coexistence of nontrivial topological properties and strong ferromagnetic fluctuations in $A_2$Cr${}_3$As${}_3$ ($A$=Na, K, Rb and Cs)
• Peculiar properties of Cr${}_3$As${}_3$-chain-based superconductors
• Coupling of structure to magnetic and superconducting orders in quasi-one-dimensional ${\text{K}}_2{\text{Cr}}_3{\text{As}}_3$
• Revisitation of superconductivity in K${}_2$Cr${}_3$As${}_3$ based on the six-band model
• Instability of three-band Tomonaga-Luttinger liquid: renormalization group analysis and possible application to K2Cr3As3
• ${}^{133}$Cs and ${}^{75}$As NMR investigation of the normal metallic state of the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$
• Spin-orbit coupling and strong electronic correlations in cyclic molecules
• Effect of impurity scattering on superconductivity in K${}_2$Cr${}_3$As${}_3$
• A minimal tight-binding model for the quasi-one-dimensional superconductor K2Cr3As3
• Lifshitz Transition and Nontrivial H-Doping Effect in Cr-based Superconductor KCr${}_3$As${}_3$H${}_x$
• Reduced Dimensionality and Magnetic Frustration in KCr${}_3$As${}_3$
• Structural Instability and Magnetism of Superconducting KCr${}_3$As${}_3$
• K2Mo3As3 is a Multi-Gap Electron-Phonon Superconductor
• Intra-chain collinear magnetism and inter-chain magnetic phases in Cr3As3-K-based materials
• Singlet $s^{\pm }$-wave pairing in quasi-one-dimensional ACr${}_3$As${}_3$ (A=K, Rb, Cs) superconductors
• Gapless spin-excitations in the superconducting state of a quasi-one-dimensional spin-triplet superconductor
• Topological quantum phase transition driven by anisotropic spin-orbit coupling in trinuclear organometallic coordination crystals
• Multiband superconductivity and possible nodal gap in RbCr${}_3$As${}_3$ revealed by Andreev reflection and single-particle tunneling measurements
• Tuning interchain ferromagnetic instability in A2Cr3As3 ternary arsenides by chemical pressure and uniaxial strain
• Intrinsic topological superconductivity with exactly flat surface bands in the quasi-one-dimensional A${}_2$Cr${}_3$As${}_3$ (A=Na, K, Rb, Cs) superconductors
• Triplet superconductivity in coupled odd-gon rings
• Reemergence of superconductivity in pressurized quasi-one-dimensional superconductor K2Mo3As3
• Lifshitz transition enhanced triplet $p_z$-wave superconductivity in hydrogen doped KCr${}_3$As${}_3$
• 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${}_3$
• Correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)