Journal
PHYSICAL REVIEW B
Volume 88, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.155420
Keywords
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Funding
- Helmholtz Virtual Institute New states of matter and their excitations
- Deutsche Forschungsgemeinschaft [SPP1285]
- Studienstiftung d. dt. Volkes
- NSF DMR [0906498, 1206612]
- NSF [PHYS-106629]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1206612, 0906498] Funding Source: National Science Foundation
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Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result of the RKKY interaction mediated by the superconducting substrate. Here, we investigate this scenario theoretically by developing a tight-binding Bogoliubov-de Gennes description starting from the Shiba bound states induced by the individual magnetic impurities. While the resulting model Hamiltonian has similarities with the Kitaev model for one-dimensional spinless p-wave superconductors, there are also important differences, most notably the long-range nature of hopping and pairing as well as the complex hopping amplitudes. We use both analytical and numerical approaches to explore the consequences of these differences for the phase diagram and the localization properties of the Majorana end states when the Shiba chain is in a topological superconducting phase.
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