So far, finding Majorana fermion is one of the important research in condensed matter physics. In theory, zero energy Majorana modes resides on the edge or vortex core in topological superconductor, characterizing the topological phase of matter protected by particle hole symmetry. Zero bias conductance peak is one of the phenomena from Andreev reflection process in normal metal/topological interface. In this work, we use the non-equilibrium Green's function method to study the interface between the normal metal and two dimensional noncentrosymmetric superconductor which lack a center of inversion symmetry and exhibit spin orbital coupling. The tight binding hamiltonian[1] for noncentrosymmetric superconductor is used. Then, we simulate the selective equal spin Andreev reflection[2]. Equal spin Andreev reflection means if the electrons in normal metal has the same spin polarization with the electrons on the edge state of superconductor, they are reflected as holes with the same spin. Moreover, with opposite spin polarization between electrons in normal metal and electrons in the edge of superconductor, they are reflected as electrons with same spin. As the result, we can get the conductance as the function of the spin polarized angle of electron in normal metal to realize the properties of Majoranana edge state. In addition, the spin current can be injected to the noncentrosymmetric superconductor which allow both singlet and triplet cooper pairs, generating the new spintronic device.References: 1. M. Biderang, H.Yavari, Mohammad-Hossein Zare, PHYSICAL REVIEW B 98, 014524(2018) 2. PA. Lee, PHYSICAL REVIEW LETTERS 112, 037001(2014)

Probing Majorana Fermion in Two Dimensional Noncentrosymmetric Superconductors by Using Equal-Spin Andreev Reflections

F5: Magnetism and Superconductivity

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Meng-Chien Wang

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Probing Majorana Fermion in Two Dimensional Noncentrosymmetric Superconductors by Using Equal-Spin Andreev Reflections

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