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

TL;DR

This paper provides a theoretical analysis of the asymptotic behavior of impurity-induced bound states in 1D and 2D topological superconductors, highlighting differences between s-wave and p-wave pairing that can be experimentally detected.

Contribution

It offers analytical calculations of the spatial dependence of local density of states and spin polarization of Shiba states, revealing key differences between pairing types in low-dimensional superconductors.

Findings

Spin polarization differs significantly between s-wave and p-wave superconductors.

The spatial decay of Shiba states can distinguish pairing symmetries.

Results suggest experimental methods to identify pairing types in low-dimensional systems.

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.