$B_{1g}$-like pairing states in two-leg ladder iron superconductors

Abstract

Motivated by the recent report of superconductivity in Fe-based ladder materials, we study the pairing state of a multi-orbital t-J model defined on two-leg ladders using the standard mean-field theory. We find that the superconducting order parameters change sign between the $d_{xz}$ and $d_{yz}$ orbitals in most of the phase diagram. By analogy with the two-dimensional Fe planes, we conclude that the leading pairing channel of this state belongs to the $B_{1g}$ symmetry class, which is distinct from the common $s_{\pm }$ gap with the $A_{1g}$ symmetry. By smoothly interpolating from planes into ladders, we show that a first-order transition occurs between these two competing phases when the dimension of the system is reduced.

10 pages, 11 figures, minor changes

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• Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFe${}_2$S${}_3$: combined ab initio and density matrix renormalization group study
• Ab initio downfolding study of the iron-based ladder superconductor BaFe${}_2$S${}_3$
• First-principles study of magnetic properties in Fe-ladder compound BaFe2S3
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Multiorbital singlet pairing and $d+d$ superconductivity
• Polar State induced by Block-type Lattice Distortions in BaFe2Se3 with Quasi-One-Dimensional Ladder Structure