Dimensional Tuning of Majorana Fermions and the Real Space Counting of the Chern Number
arXiv:1909.06360 · doi:10.1103/PhysRevB.100.184510
Abstract
We demonstrate that it is possible to use atomic manipulation techniques to adiabatically tune between one-dimensional and two-dimensional topological superconductors in magnet--superconductor hybrid (MSH) structures. This allows one to change the nature of the associated Majorana fermions between localized bound states and chiral Majorana edge modes, and provides a new approach for counting the topological invariant of the system -- the Chern number -- in real space. Moreover, we show that the topological nature of finite-size MSH structures can be characterized using the Chern number density which adiabatically connects MSH structures to macroscopic, translationally invariant topological superconductors characterized by an integer Chern number. These results open new possibilities for studying the nature of topological superconductivity in MSH structures using atomic manipulation techniques.
arXiv comment7 pages, 5 figures. arXiv admin note: text overlap with arXiv:1811.06664
References in corpus (17)
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Classification of topological insulators and superconductors in three spatial dimensions
- New directions in the pursuit of Majorana fermions in solid state systems
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Mapping topological order in coordinate space
- Two-dimensional topological superconductivity in Pb/Co/Si(111)
- Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
- Disordered Topological Insulators: A Non-Commutative Geometry Perspective
- Detecting Majoranas in 1D wires by charge sensing
- Quantized charge transport in chiral Majorana edge modes
- A Computational Non-Commutative Geometry Program for Disordered Topological Insulators
- Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
- Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
Cited by in corpus (16)
- Majorana bound states in magnetic skyrmions imposed onto a superconductor
- Topological Superconductivity in Skyrmion Lattices
- Time Reversal Symmetry Breaking in the Fe-Chalcogenide Superconductors
- Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
- Interaction of a Neel-type skyrmion and a superconducting vortex
- High-Temperature Majorana Fermions in Magnet-Superconductor Hybrid Systems
- How to measure the Majorana polarization of a topological planar Josephson junction
- Majorana quasiparticles in atomic spin chains on superconductors
- Influence of long-range interaction on Majorana zero modes
- Repulsion of a Néel-type skyrmion from a Pearl vortex in thin ferromagnet-superconductor heterostructures
- Chirality inversion and radius blow-up of a Néel-type skyrmion by a Pearl vortex
- Chiral topological superconducting state with Chern number in PbBi/Ge(111)
- Deformation of a Néel-type Skyrmion in a Weak Inhomogeneous Magnetic Field: Magnetization Ansatz and Interaction with a Pearl Vortex
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
- Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
- Dimensional crossover of class D real-space topological invariants