Stability of Disordered Topological Superconducting Phases in Magnet--Superconductor Hybrid Systems

Abstract

Magnet-superconductor hybrid heterostructures constitute a promising candidate system for the quantum engineering of chiral topological superconductivity. Here, we investigate the stability of their topological phases in the presence of various types of potential and magnetic disorder. In particular we consider magnetic disorder in the coupling strength and spin-orientation, as well as percolation type disorder representing missing magnetic moments. We show that potential disorder leads to the weakest suppression of topological phases, while percolation disorder leads to their strongest suppression. In addition, we demonstrate that in the case of correlated potential disorder, the spatial structure of the disorder potential is correlated not only with the particle number density, but also the Chern number density. Finally, we demonstrate how the disorder-induced destruction of topological superconductivity is reflected in the spatial structure and distribution of the Chern number density.

References in corpus (36)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Anderson Transitions
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Topological superconductors: a review
• Majorana Zero Modes and Topological Quantum Computation
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Majorana fermions in chains of magnetic atoms on a superconductor
• Topological Superconductivity in CuxBi2Se3
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Chiral Superconductors
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Class D spectral peak in Majorana quantum wires
• Two-dimensional topological superconductivity in Pb/Co/Si(111)
• Quasiparticle localization in superconductors with spin-orbit scattering
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
• A novel platform for two-dimensional chiral topological superconductivity
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Quantized charge transport in chiral Majorana edge modes
• A Computational Non-Commutative Geometry Program for Disordered Topological Insulators
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
• Stability of flat-band edge states in topological superconductors without inversion center
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry

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• Shot-noise and differential conductance as signatures of putative topological superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
• Predicting topological invariants and unconventional superconducting pairing from density of states and machine learning
• Effects of critical correlations on quantum percolation in two dimensions
• Dimensional crossover of class D real-space topological invariants
• Topological transition induced by selective random defects on a honeycomb lattice