Identification of topological superconductivity in magnetic impurity systems using bulk spin-polarization

Abstract

Magnetic impurities on the surface of spin-orbit coupled but otherwise conventional superconductors provide a promising way to engineer topological superconductors with Majorana bound states as for boundary modes. In this work, we show that the spin-polarization in the interior of both one-dimensional impurity chains and two-dimensional islands can be used to determine the topological phase, as it changes sign exactly at the topological phase transition. This offers an independent probe of the topological phase, beyond the zero-energy Majorana bound states appearing at the boundaries of the topological region.

arXiv comment9 pages, 13 figures

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• Topological superconductivity enhanced by exceptional points
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
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• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
• Temperature dependent energy gap for Yu-Shiba-Rusinov states at the quantum phase transition
• Dimensional crossover of class D real-space topological invariants
• Floquet first- and higher-order topological superconductors: A review