# Visualizing Pairing Symmetry in Nematic Superconductors using spin-polarized spectroscopy of magnetic impurities

## TL;DR

This paper investigates how spin-polarized spectroscopy of magnetic impurities can reveal pairing symmetry in nematic superconductors, providing a method to distinguish different pairing states through spectral analysis.

## Contribution

It introduces a detailed analysis of spin-polarized local density of states in nematic superconductors, linking spectral features to pairing symmetry and impurity orientation.

## Key findings

- SP LDOS can distinguish pairing symmetries in nematic superconductors.
- Fourier-transformed SP LDOS reveals quasiparticle interference patterns.
- Method applies to both 2D and 3D materials with different impurity configurations.

## Abstract

We study the spin-polarized spectral properties of Yu-Shiba-Rusinov resonance states induced by magnetic impurities in 2- and 3-dimensional nematic superconductors: few layer Bi$_2$Te$_3$ grown on FeTe$_{0.55}$Se$_{0.45}$ (2-dimensional) and Cu$_x$Bi$_2$Se$_3$ (3-dimensional). We focus on the relationship between pairing symmetry and the topograph of spin-polarized spectroscopy. We calculate the spin-polarized local density of states (SP LDOS) and the corresponding Fourier transformation using the $T$-matrix method for both the 2- and 3-dimensional materials. Various situations with different impurity orientations and different SP LDOSs have been investigated. We find that, like the quasiparticle interference spectrum, the SP LDOS can be applied to distinguish other pairings which preserve the threefold rotation symmetry of $D_3$ point group and nematic pairings in these materials.