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Existence of Majorana Fermions and Topological Order in Nodal Superconductors with Spin-Orbit Interactions in External Magnetic Fields

Masatoshi Sato, Satoshi Fujimoto

DOI 10.1103/PhysRevLett.105.217001 · Physical Review Letters

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Abstract

We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an antisymmetric spin-orbit interaction and a nonzero magnetic field below the upper critical field. We clarify that the Majorana fermion state is topologically protected in spite of the presence of bulk gapless nodal excitations, because of the existence of a nontrivial topological number. Our finding drastically enlarges target systems where we can explore the Majorana fermion state.

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FormulaReported Tc (K)Pressure (GPa)Type
CePt3Si

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—Pressure not reportedunknown
CeRhSi3

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—Pressure not reportedunknown
CeIrSi3

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—Pressure not reportedunknown
Li2Pt3B

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—Pressure not reportedunknown

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