Moiré dispersion of edge states in spin chains on superconductors

Abstract

Our calculations of ferromagnetic spin chains on s-wave superconductors show that the energy oscillations of edge states with the chain's length are due to a moiré pattern emerging from Friedel-like oscillations and the discreteness of the spin-chain lattice. By modifying the spin lattice, the moiré dispersion of edge states can be controlled. In particular, we can engineer non-dispersive edge states that remain at fixed energy regardless of the size distribution of the spin chains. This is an important step in the study of edge states of spin chains that can be fabricated with a certain size dispersion.

References in corpus (17)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Distinguishing a Majorana zero mode using spin resolved measurements
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Strong localization of Majorana end states in chains of magnetic adatoms
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• Majorana splitting from critical currents in Josephson junctions
• Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
• Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
• Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors

Cited by in corpus (1)

• Testing the topological nature of end states in antiferromagnetic atomic chains on superconductors