Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall

Abstract

We study theoretically a strongly type-II s-wave superconducting state of two-dimensional Dirac fermions in proximity to a ferromagnet having in-plane magnetization. It is shown that a magnetic domain wall can host a chain of equally spaced vortices in the superconducting order parameter, each of which binds a Majorana fermion state. The overlap integral of neighboring Majorana states is sensitive to the position of the chemical potential of the Dirac fermions. This leads to a characteristic V-shaped dependence of thermal conductivity of Majorana fermions on the chemical potential.

arXiv comment4+ pages, 2 figures

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• Topological phases, Majorana modes and quench dynamics in a spin ladder system
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• CaFeAs${}_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature Superconductivity
• Classification of engineered topological superconductors
• Engineering and manipulating topological qubits in 1D quantum wires
• Model for magnetic flux pattern induced by in-plane magnetic fields on spatially inhomogeneous superconducting interfaces of LaAlO_3-SrTiO_3
• Carrier dependent ferromagnetism in chromium doped topological insulator $C{r}_{0.2}B{i}_{x}S{b}_{1.8-x}T{e}_3$
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• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes