# Spin-polarized local density of states in the vortex state of helical p-wave superconductors

## TL;DR

This study investigates the vortex state properties of helical p-wave superconductors using quasi-classical theory, revealing spin-polarized local density of states and the effects of vorticity and chirality coupling.

## Contribution

It demonstrates the instability of the helical p-wave state at high fields and characterizes the spin-polarized local density of states in vortex states, providing new insights into their spectral features.

## Key findings

- Spin-polarized local density of states appears without change in Knight shift.
- Helical p-wave state becomes unstable at high magnetic fields.
- Vorticity couples to chirality, affecting local density of states.

## Abstract

Properties of the vortex state in helical p-wave superconductor are studied by the quasi-classical Eilenberger theory. We confirm the instability of the helical p-wave state at high fields and that the spin-polarized local density of states M(E,r) appears even when Knight shift does not change. This is because the vorticity couples to the chirality of up-spin pair or down-spin pair of the helical state. In order to identify the helical p-wave state at low fields, we investigate the structure of the zero-energy M (E = 0, r) in the vortex states, and also the energy spectra of M (E, r).