Optimized micromagnet geometries for Majorana zero modes in low g-factor materials

Abstract

Solid-state experimental realizations of Majorana bound states are based on materials with strong intrinsic spin-orbit interactions. In this paper, we explore an alternative approach where spin-orbit coupling is induced artificially through a nonuniform magnetic field that originates from an array of micromagnets. Using a recently developed optimization algorithm, we find suitable magnet geometries for the emergence of topological superconductivity in wires without intrinsic spin-orbit coupling. We confirm the robustness of Majorana bound states against disorder and periodic potentials whose amplitudes do not exceed the Zeeman energy. Furthermore, we identify low g-factor materials commonly used in mesoscopic physics experiments as viable candidates for Majorana devices.

arXiv comment13 pages, 9 figures, published version

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• Controlling Synthetic Spin-Orbit Coupling in a Silicon Quantum Dot with Magnetic Field
• Integrating micromagnets and hybrid nanowires for topological quantum computing
• Machine learning optimization of Majorana hybrid nanowires
• Greedy optimization of the geometry of Majorana Josephson junctions
• Hysteretic magnetoresistance in nanowire devices due to stray fields induced by micromagnets
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Topological gap protocol based machine learning optimization of Majorana hybrid wires
• Optimal design of nanomagnets for on-chip field gradients
• Zero-bias conductance peaks at zero applied magnetic field due to stray fields from integrated micromagnets in hybrid nanowire quantum dots
• Predicted third-order sweet spots for phi-junction Josephson parametric amplifiers
• Nanoscale stray fields from micromagnets for optimal spin qubit architecture