Engineering 1D topological phases on $p$-wave superconductors

Abstract

In this work, we study how, with the aid of impurity engineering, two-dimensional $p$-wave superconductors can be employed as a platform for one-dimensional topological phases. We discover that, while chiral and helical parent states themselves are topologically nontrivial, a chain of scalar impurities on both systems support multiple topological phases and Majorana end states. We develop an approach which allows us to extract the topological invariants and subgap spectrum, even away from the center of the gap, for the representative cases of spinless, chiral and helical superconductors. We find that the magnitude of the topological gaps protecting the nontrivial phases may be a significant fraction of the gap of the underlying superconductor.

arXiv comment8 pages, 4 figures

References in corpus (29)

• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Majorana fermions in chains of magnetic atoms on a superconductor
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Topological superconducting phase in helical Shiba chains
• Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Self-Organized Topological State with Majorana Fermions
• Majorana states in helical Shiba chains and ladders
• Strong localization of Majorana end states in chains of magnetic adatoms
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
• Impurity-induced bound states in superconductors with spin-orbit coupling
• Topological properties of helical Shiba chains with general impurity strength and hybridization
• Characterizing unconventional superconductors from the spin structure of impurity-induced bound states
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
• Shiba chains of scalar impurities on unconventional superconductors
• Topological state engineering by potential impurities on chiral superconductors
• Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms

Cited by in corpus (6)

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• Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
• Tunable topological states hosted by unconventional superconductors with adatoms
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Symmetry-protected topological wire in a topological vacuum
• Trivial and Non-trivial Superconductivity in dsDNA