Controlling topological superconductivity by magnetization dynamics

Abstract

We study theoretically a chain of precessing classical magnetic impurities in an $s$-wave superconductor. Utilizing a rotating wave description, we derive an effective Hamiltonian that describes the emergent Shiba band. We find that this Hamiltonian shows non-trivial topological properties, and we obtain the corresponding topological phase diagrams both numerically and analytically. We show that changing the precession frequency offers a control over topological phase transitions and the emergence of Majorana bound states. We propose driving the magnetic impurities or magnetic texture into precession by means of spin-transfer torque in a spin-Hall setup, and manipulate it using spin superfluidity in the case of planar magnetic order.

5 pages+9 pages supplementary material

References in corpus (10)

• Classification of topological insulators and superconductors in three spatial dimensions
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• Topological characterization of periodically-driven quantum systems
• High-resolution studies of the Majorana atomic chain platform
• Strong localization of Majorana end states in chains of magnetic adatoms
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
• Topological properties of helical Shiba chains with general impurity strength and hybridization
• Dynamical generation of Floquet Majorana flat bands in s-wave superconductors
• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor

Cited by in corpus (13)

• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Yu-Shiba-Rusinov qubit
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Influence of long-range interaction on Majorana zero modes
• Quasiparticle focusing of bound states in two-dimensional $s$-wave superconductors
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Dynamical torques from Shiba states in $s$-wave superconductors
• RKKY interaction at helical edges of topological superconductors
• Time-dependent potential impurity in topological insulator
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Symmetry-protected topological wire in a topological vacuum
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method