Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors

Abstract

We present a self-consistent analysis of the topological superconductivity arising from the interaction between self-ordered localized magnetic moments and electrons in one-dimensional conductors in contact with a superconductor. We show that due to a gain in entropy there exists a magnetically ordered yet non-topological phase at finite temperatures that is relevant for systems of magnetic adatom chains on a superconductor. Spin-orbit interaction is taken into account, and we show that it causes a modification of the magnetic order yet without affecting the topological properties.

5 pages, 4 figures, final version

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• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
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