Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
arXiv:1506.07909 · doi:10.1088/0953-8984/28/49/495703
Abstract
We study Majorana zero energy modes (MZEM) that occur in a s-wave superconducting surface, at the ends of a ferromagnetic (FM) chain of adatoms, in the presence of Rashba spin-orbit interaction (SOI) considering both non self-consistent and self-consistent superconducting order. We find that in the self-consistent solution the average superconducting gap function over the adatom sites has a discontinuous drop with increasing exchange interaction at the same critical value where the topological phase transition occurs. We also study the MZEM for both treatments of superconducting order and find that the decay length is a linear function of the exchange coupling strength, chemical potential and superconducting order. For wider FM chains the MZEM occur at smaller exchange couplings and the slope of the decay length as a function of exchange coupling grows with chain width. Thus we suggest experimental detection of different delocalization of MZEM in chains of varying widths. We discuss similarities and differences between the MZEM for the two treatments of the superconducting order.
10 pages, 10 figures
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Cited by in corpus (5)
- Topological Superconductivity Induced by Magnetic Texture Crystals
- Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors
- Supercurrent as a Probe for Topological Superconductivity in Magnetic Adatom Chains
- Majorana Zero Modes in Ferromagnetic Wires without Spin-Orbit Coupling
- Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors