Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)

Abstract

Recent experiment reported the evidence of dispersing one-dimensional Majorana mode trapped by the crystalline domain walls in FeSe${}_{0.45}$Te${}_{0.55}$. Here, we perform the first-principles calculations to show that iron atoms in the domain wall spontaneously form the ferromagnetic order in line with orientation of the wall. The ferromagnetism can impose a $\pi$ phase difference between the domain-wall-separated surface superconducting regimes under the appropriate width and magnetization of the wall. Accordingly, the topological surface superconducting state of FeSe${}_{0.45}$Te${}_{0.55}$ can give rise to one-dimensional Majorana modes trapped by the wall. More interestingly, we further propose a surface junction in the form of FeSe${}_{0.45}$Te${}_{0.55}$/ferromagnet/FeSe${}_{0.45}$Te${}_{0.55}$, which can be adopted to create and fuse the Majorana zero modes through controlling the width or magnetization of the interior ferromagnetic barrier. The braiding and readout of Majorana zero modes can be realized by the designed device. Such surface junction has the potential application in the superconducting topological quantum computation.

7 pages,4 figures. PRL in press

References in corpus (15)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Measurement-Only Topological Quantum Computation
• Bi-collinear antiferromagnetic order in the tetragonal $\alpha$-FeTe
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Observation of a Robust Zero-energy Bound State in Iron-based Superconductor Fe(Te,Se)
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Topological Phases in the Single-Layer FeSe
• CaFeAs${}_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature Superconductivity
• Observation of Superconductivity Induced Ferromagnetism in an Fe-Chalcogenide Superconductor
• Single particle tunneling spectroscopy and superconducting gaps in layered iron based superconductor KCa${}_2$Fe${}_4$As${}_4$F${}_2$

Cited by in corpus (10)

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• Ferromagnetic Impurity Induced Majorana Zero Mode in Iron-Based Superconductor
• Stealth Majorana Zero Mode in a Trilayer Heterostructure MnTe/Bi2Te3/Fe(Te,Se)
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Topological superconductivity driven by correlations and linear defects in multiband superconductors
• Embedded Majorana Islands
• Ubiquity of rotational symmetry breaking in superconducting films, from Fe(Te,Se)/Bi${}_2$Te${}_3$ to Nb, and the effect of measurement geometry
• A mesoscopic device for a realization of the Topological Kondo effect
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix