Two-dimensional topological superconducting phases emerged from d-wave superconductors in proximity to antiferromagnets

Abstract

Motivated by the recent observations of nodeless superconductivity in the monolayer CuO${}_2$ grown on the Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ substrates, we study the two-dimensional superconducting (SC) phases described by the two-dimensional $t$-$J$ model in proximity to an antiferromagnetic (AF) insulator. We found that (i) the nodal d-wave SC state can be driven via a continuous transition into a nodeless d-wave pairing state by the proximity induced AF field. (ii) The energetically favorable pairing states in the strong field regime have extended s-wave symmetry and can be nodal or nodeless. (iii) Between the pure d-wave and s-wave paired phases, there emerge two topologically distinct SC phases with ($s+$i$d$) symmetry, i.e., the weak and strong pairing phases, and the weak pairing phase is found to be a $Z_2$ topological superconductor protected by valley symmetry, exhibiting robust gapless non-chiral edge modes. These findings strongly suggest that the high-$T_c$ superconductors in proximity to antiferromagnets can realize fully gapped symmetry protected topological SC.

7 pages, 4 figures; revised version

References in corpus (4)

• Classification of topological insulators and superconductors in three spatial dimensions
• Nodeless pairing in superconducting copper-oxide monolayer films on Bi2Sr2CaCu2O8+δ
• Marginality of bulk-edge correspondence for single-valley Hamiltonians
• Stability of nodal quasi-particles in superconductors with coexisting orders

Cited by in corpus (5)

• Superconductivity in a unique type of copper oxide
• Nodeless high-T${}_c$ superconductivity in highly-overdoped monolayer CuO${}_2$
• Antiferromagnetism-driven two-dimensional topological nodal-point superconductivity
• Superconducting dome with $extended$ $s$-$wave$ pairing symmetry in the heavily hole-overdoped copper-oxide planes
• Symmetry-dependent antiferromagnetic proximity effects on valley splitting