Abstract

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We demonstrate that Majorana zero modes emerge localised at the edges of the ferromagnetic wire, due to the interplay of the applied supercurrents and the induced by proximity exchange fields with conventional superconductivity. Our mechanism does not rely on the pairing of helical fermions by combining conventional superconductivity with spin-orbit coupling, but rather exploits the misalignment between the magnetization of the ferromagnetic insulators and that of the ferromagnetic wire.

Highlights

  • The development of quantum computers promises a new technological revolution [1].a fundamental obstacle hindering the development of quantum computation is quantum decoherence, the loss of quantum mechanical phase coherence and, of information encoded in qubits

  • Superconductorferromagnet heterostructures do not require the application of an external magnetic field and, are advantageous with respect to other platforms. Following this line of argument, topological superconductivity and MZMs have been demonstrated to emerge in half-metal/superconductor [14] or ferromagnet/unconventional superconductor [15] heterostructures, in ferromagnetic wires proximised to conventional superconductors [16,17,18] and in ferromagnetically aligned chains of magnetic impurities embedded in conventional superconductors [19,20,21,22,23,24,25,26]

  • We present a novel platform for realising Majorana zero modes based on superconductor

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Summary

Introduction

The development of quantum computers promises a new technological revolution [1]. a fundamental obstacle hindering the development of quantum computation is quantum decoherence, the loss of quantum mechanical phase coherence and, of information encoded in qubits. Magnetic fields are detrimental to conventional superconductivity; thereby, many proposals for realising MZMs are based on heterostructures among superconductors with ferromagnetic materials. Superconductorferromagnet heterostructures do not require the application of an external magnetic field and, are advantageous with respect to other platforms Following this line of argument, topological superconductivity and MZMs have been demonstrated to emerge in half-metal/superconductor [14] or ferromagnet/unconventional superconductor [15] heterostructures, in ferromagnetic wires proximised to conventional superconductors [16,17,18] and in ferromagnetically aligned chains of magnetic impurities embedded in conventional superconductors [19,20,21,22,23,24,25,26]. Spin-orbit coupling is an essential component in all of these proposals

A Novel Platform
The Underlying Mechanism
Induced p-Wave Superconductivity
Intraband p-Wave Superconductivity in the Ferromagnetic Wire
Topological Criteria for the Ferromagnetic Wire
Numerical Calculations for the FI-SC-FM-SC-FI Heterostructure
Local Density of States
Robustness of Emergent Majorana Zero Modes against Disorder
Conclusions
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