Fig. 4: Dirac-fermion-assisted interfacial superconductivity in (Bi1-xSbx)2Te3/FeTe heterostructures. | Nature Communications

Fig. 4: Dirac-fermion-assisted interfacial superconductivity in (Bi1-xSbx)2Te3/FeTe heterostructures.

From: Dirac-fermion-assisted interfacial superconductivity in epitaxial topological-insulator/iron-chalcogenide heterostructures

Fig. 4

ac The Sb concentration x dependence of the Fermi momentum kF (a), the onset of superconducting transition temperature Tc, onset (blue squares) and the superconducting transition temperature with the zero resistance Tc,0 (red circles) (b), and the upper critical magnetic field μ0\({H}_{{{{{{\rm{c}}}}}}2,\perp }\) (c). The error bars in (a) are estimated from the width of the surface state at kF. The error bars in (b) are estimated to be ~20% of (Tc, onset - Tc,0). The error bars in (c) are estimated to be ~40% of [μ0\({H}_{{{{{{\rm{c}}}}}}2,\perp }\)(Rnormal)- μ0\({H}_{{{{{{\rm{c}}}}}}2,\perp }\)(R ~ 0.5Rnormal)]. d A phenomenological interpretation of the Dirac-fermion-assisted interfacial superconductivity in (Bi1-xSbx)2Te3/FeTe heterostructures. The left panel shows the bicollinear antiferromagnetic order of the FeTe layer. \({J}_{i}\) with \(i={{{{\mathrm{1,2,3}}}}}\) are spin-spin interactions. The middle panel shows the spin-exchange coupling between itinerant Dirac electrons and local spins of FeTe, resulting in the RKKY interaction between two magnetic moments. The right panel shows a possible renormalized spin model in FeTe with a suppressed antiferromagnetic order. e The Dirac fermion-induced RKKY interaction \({J}_{{RKKY}}({k}_{F}{R}_{{ij}})\). Here \({R}_{{ij}}\) is the next nearest bond of irons, and it reaches its minimal for \({k}_{F}\) ~ 0 near \(x\approx 0.85\). The error bars in (e) are estimated through the calculation of both \({J}_{{RKKY}}\left({k}_{F}-\Delta {k}_{F}\right)\) and \({J}_{{RKKY}}\left({k}_{F}+\Delta {k}_{F}\right)\), mirroring the error bars in (a). f The possible \({s}_{\pm }\)-wave pairing symmetry in real and momentum spaces.

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