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Title
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Sea of Majorana fermions from pseudo-scalar superconducting order in three dimensional Dirac materials
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Type
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JournalPaper
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Keywords
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3D Dirac Materials, Superconductivity, Majorana fermions, Topological Phase Transision
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Abstract
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We suggest that spin-singlet pseudo-scalar s-wave superconducting pairing creates a two dimensional sea of Majorana fermions on the surface of three dimensional Dirac superconductors (3DDS). This pseudo-scalar superconducting order parameter Δ5, in competition with scalar Dirac mass m, leads to a topological phase transition due to band inversion. We fnd that a perfect Andreev-Klein refection is guaranteed by presence of anomalous Andreev refection along with the conventional one. This efect manifests itself in a resonant peak of the diferential conductance. Furthermore, Josephson current of the Δ5|m|Δ5 junction in the presence of anomalous Andreev refection is fractional with 4π period. Our fnding suggests another search area for condensed matter realization of Majorana fermions which are beyond the vortex-core of p-wave superconductors. The required Δ5 pairing can be extrinsically induced by a conventional s-wave superconductor into a three dimensional Dirac aterial (3DDM).
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Researchers
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Seyed Akbar Jafari (Second Researcher), morteza salehi (First Researcher)
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