Spin-Orbit Coupled s-Wave Superconductor in One-Dimensional Optical Lattice |
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Authors: | YANG Li-Jun LANG Li-Jun L Rong HU Hai-Ping |
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Institution: | 1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2. Department of Physics, Tsinghua University, Beijing 100084, China;
3. Collaborative Innovation Center of Quantum Matter, Beijing 100084, China |
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Abstract: | We study the topological properties of spin-orbit coupled s-wave superconductor in one-dimensional optical lattice. Compared to its corresponding continuum model, the single particle spectrum is modified by the optical lattice and the topological phase which is characterized by the Majorana edge modes can survive in two regions of the singleparticle spectrum. With the help of the self-consistent Bogoliubov-de Gennes calculation in the harmonic trap, we find that the existence of an upper critical magnetic field removes the topological superconductor phase to the trap wings.We also study the effects of nonmagnetic and magnetic impurity on the topological properties, and find the universal behavior of the mid-gap state induced by impurity in the topological superconductor phase in strong scattering limit. |
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Keywords: | spin-orbit coupling Majorana fermions optical lattice |
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