Majorana fermions of a two-dimensional p(x)+ip(y) superconductor
To investigate Majorana fermionic excitations of a px +i py superconductor, the Bogoliubov-de Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a state...
| Published in: | Physical Review B |
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| Main Authors: | , , , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
2016
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| Subjects: | |
| Online Access: | https://doi.org/10.1103/PhysRevB.79.134515 https://ora.ox.ac.uk/objects/uuid:487d154c-cb9f-44ba-b9b6-e1647ce8d138 |
| Summary: | To investigate Majorana fermionic excitations of a px +i py superconductor, the Bogoliubov-de Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a state of two Majorana fermions, the energy of which decreases exponentially with the radius of the sphere, independently of a moderate disorder potential. The tunneling conductance of an electron into the superconductor near the position of a vortex is computed for finite temperature and is compared to the case of an s -wave superconductor. The zero-bias conductance peak of the antivortex is half that of the vortex. This effect can be used as a probe of the order-parameter symmetry and as a direct measurement of the Majorana fermion. © 2009 The American Physical Society. |
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