Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors

Abstract

We study theoretically the asymptotic behavior of the Shiba bound states associated with magnetic impurities embedded in both 2D and 1D anomalous superconductors. We calculate analytically the spatial dependence of the local density of states together with the spin polarization associated with the Shiba bound states. We show that the latter quantity exhibits drastic differences between s-wave and different types of p-wave superconductors. Such properties, which could be measured using spin-polarized STM, offer therefore a way to discriminate between singlet and triplet pairing in low-dimensional superconductors, as well as a way to estimate the amplitude of the triplet pairing in these systems.

18 pages, 5 figures

References in corpus (18)

• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Introduction to topological superconductivity and Majorana fermions
• Strong localization of Majorana end states in chains of magnetic adatoms
• Magnetic anisotropy in Shiba bound states across a quantum phase transition
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Self-organized topological state in the magnetic chain on the surface of a superconductor
• Topological Phases of Inhomogeneous Superconductivity
• Impurity-induced bound states in superconductors with spin-orbit coupling
• Topological properties of helical Shiba chains with general impurity strength and hybridization
• Impurity and interface bound states in $d_{x^2-y^2}+i{d}_{xy}$ and $p_x+i{p}_y$ superconductors
• 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
• Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
• Impurity resonance states in noncentrosymmetric superconductor $CeP{t}_{3}Si$: a probe for Cooper-pairing symmetry
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors
• Shiba chains of scalar impurities on unconventional superconductors
• Topological state engineering by potential impurities on chiral superconductors

Cited by in corpus (20)

• Chiral Topological Superconductors Enhanced by Long-Range Interactions
• Yu-Shiba-Rusinov qubit
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Impurity bound states in fully gapped $d$-wave superconductors with subdominant order parameters
• Identification of topological superconductivity in magnetic impurity systems using bulk spin-polarization
• Coherent and incoherent tunneling into YSR states revealed by atomic scale shot-noise spectroscopy
• Staircase to Higher-Order Topological Phase Transitions
• Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: exact solutions via T-matrix
• Controlling topological superconductivity by magnetization dynamics
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Effect of impurities and disorder on the braiding dynamics of Majorana zero modes
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure
• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
• Dynamical torques from Shiba states in $s$-wave superconductors
• Visualizing Pairing Symmetry in Nematic Superconductors using spin-polarized spectroscopy of magnetic impurities
• Band twisting and resilience to disorder in long-range topological superconductors
• Chiral $p-$wave superconductivity in Pb${}_{1-x}$Sn${}_x$Te: signatures from bound-state spectra and wavefunctions