Grain-boundary topological superconductor
arXiv:2212.14038 · doi:10.1038/s42005-023-01351-5
Abstract
Majorana zero modes (MZMs) are of central importance for modern condensed matter physics and quantum information due their non-Abelian nature, which thereby offers the possibility of realizing topological quantum bits. We here show that a grain boundary (GB) defect can host a topological superconductor (SC), with a pair of cohabitating MZMs at its end when immersed in a parent two-dimensional gapped topological SC with the Fermi surface enclosing a nonzero momentum. The essence of our proposal lies in the magnetic-field driven hybridization of the localized MZMs at the elementary blocks of the GB defect, the single lattice dislocations, due to the MZM spin being locked to the Burgers vector. Indeed, as we show through numerical and analytical calculations, the GB topological SC with two localized MZMs emerges in a finite range of both the angle and magnitude of the external magnetic field. Our work demonstrates the possibility of defect-based platforms for quantum information technology and opens up a route for their systematic search in future.
arXiv commentPublished version: 8 Pages, 4 Figures (Supplementary Information as Ancillary file)
References in corpus (38)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Search for Majorana fermions in superconductors
- Topological superconductors: a review
- Topological Crystalline Insulators in the SnTe Material Class
- Kwant: a software package for quantum transport
- Introduction to topological superconductivity and Majorana fermions
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Majorana fermions in chains of magnetic atoms on a superconductor
- The space group classification of topological band insulators
- Topological superconducting phase in helical Shiba chains
- Grain-Boundary Kinetics: A Unified Approach
- Helical Metal Inside a Topological Band Insulator
- Topological superconductivity in a van der Waals heterostructure
- 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
- Realization of a minimal Kitaev chain in coupled quantum dots
- Advantageous grain boundaries in iron pnictide superconductors
- Distinguishing a Majorana zero mode using spin resolved measurements
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
- Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
- Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
- Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band-insulators
- Resolving the Topological Classification of Bismuth with Topological Defects
- Topological indices, defects and Majorana fermion in chiral superconductors
- Majorana zero modes in dislocations of SrRuO
- Dislocation as a bulk probe of higher-order topological insulators
- Anomalous and normal dislocation modes in Floquet topological insulators
- Self-organized pseudo-graphene on grain boundaries in topological band insulators
- Symmetry dictated grain boundary state in a two-dimensional topological insulator
- Observation of coexisting weak localization and superconducting fluctuations in strained Sn1-xInxTe thin films
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