Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime

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Abstract

Recent developments in the search for topological superconductivity have brought lattices of magnetic adatoms on a superconductor into intense focus. In this work we will study ferromagnetic chains of adatoms on superconducting surfaces with Rashba spin-orbit coupling. Generalizing the deep-impurity approach employed extensively in previous works to arbitrary subgap energies, we formulate the theory of the subgap spectrum as a nonlinear matrix eigenvalue problem. We obtain an essentially analytical description of the subgap spectrum, allowing an efficient study of the topological properties. Employing a flat-band Hamiltonian sharing the topological properties of the chain, we evaluate the Z-valued winding number and discover five distinct topological phases. Our results also confirm that the topological band formation does not require the decoupled Shiba energies to be fine-tuned to the gap center. We also study the properties of Majorana bound states in the system.

Details

Original languageEnglish
Article number014517
Pages (from-to)1-10
Number of pages10
JournalPhysical Review B
Volume93
Issue number1
Publication statusPublished - 26 Jan 2016
MoE publication typeA1 Journal article-refereed

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  • MAJORANA FERMIONS, STATES

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