# Impurity- and Magnetic-field-induced Quasiparticle States in Chiral $p$-wave Superconductors

## TL;DR

This paper theoretically investigates impurity- and magnetic-field-induced quasiparticle states in chiral p-wave superconductors, revealing universal impurity-bound states and magnetic field effects on Majorana modes.

## Contribution

It introduces a self-consistent Bogoliubov--de Gennes framework to analyze impurity and magnetic effects, highlighting universal bound states and field-tunable Majorana modes.

## Key findings

- Universal impurity-bound quasiparticle states at strong scattering limit.
- Uniform supercurrent distributions around linear impurities.
- Magnetic field tuning enhances zero-energy Majorana mode peaks.

## Abstract

Both impurity- and magnetic-field-induced quasiparticle states in chiral $p$-wave superconductors are investigated theoretically by solving the Bogoliubov--de Gennes equations self-consistently. At the strong scattering limit, we find that a universal state bound to the impurity can be induced for both a single nonmagnetic impurity and a single magnetic impurity. Furthermore, we find that different chiral order parameters and the corresponding supercurrents have uniform distributions around linear impurities. Calculations of the local density of states in the presence of an external magnetic field show that the intensity peak of the zero-energy Majorana mode in the vortex core can be enhanced dramatically by tuning the strength of the external magnetic field or pairing interaction.