Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling

Details Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling

2011-08-01

arxiv.org/abs/1108.0419v1

Phys. Rev. B 84, 195442 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.84.195442

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling. Here we propose an alternative system consisting of a one-dimensional chain of magnetic nanoparticles on a superconducting substrate. No spin-orbit coupling in the superconductor is needed. We calculate the topological quantum number of a chain of finite length, including the competing effects of disorder in the orientation of the magnetic moments and in the hopping energies, to identify the transition into the topologically nontrivial state (with Majorana fermions at the end points of the chain).

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