Abstract
We study Majorana fermions in a two-dimensional topological superconductor placed in a transverse magnetic-field . We consider a topological insulator/superconductor heterostructure and a two-dimensional -wave superconductor. A single field-generated vortex creates two Majorana fermions, one of which is hosted at the vortex core. The wave function of the second Majorana state is localized in the superconductor volume along a circle with a radius of centered at the vortex core. In the case of many vortices, the sensitivity of to the magnetic field may be used to control the coupling between the Majorana fermions. The latter property could be an asset for quantum computations.
- Received 2 March 2016
DOI:https://doi.org/10.1103/PhysRevB.94.125428
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