Scheme for Majorana Manipulation Using Magnetic Force Microscopy

Abstract

We propose a scheme for the use of magnetic force microscopy to manipulate Majorana zero modes emergent in vortex cores of topological superconductors in the Fe(Se,Te) family. We calculate the pinning forces necessary to drag two vortices together and the resulting change in current and charge density of the composite fermion. A possible algorithm for measuring and altering Majorana pair parity is demonstrated.

References in corpus (15)

• Fault-tolerant quantum computation by anyons
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Exponential Protection of Zero Modes in Majorana Islands
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Quantized Majorana conductance
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Topological superconductivity on the surface of Fe-based superconductors
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Mechanics of Individual, Isolated Vortices in a Cuprate Superconductor
• Transport signatures of quasiparticle poisoning in a Majorana island
• Controlled Manipulation of Individual Vortices in a Superconductor
• (Giant) Vortex - (anti) vortex interaction in bulk superconductors: The Ginzburg-Landau theory
• Low-temperature, high-resolution magnetic force microscopy using a quartz tuning fork
• Single Vortex Pinning and Penetration Depth in Superconducting NdFeAsO${}_{1-x}$F${}_x$

Cited by in corpus (6)

• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• Emergent vortex Majorana zero mode in iron-based superconductors
• Optical vortex manipulation for topological quantum computation
• From anyons to Majoranas
• Direct visualization of quasiparticle concentration around superconducting vortices
• Realizing Majorana fermion modes in the Kitaev model