Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit

TL;DR

This study investigates the spatial structure of odd-frequency Cooper pair amplitudes around vortex cores in chiral p-wave superconductors, revealing their relation to local density of states and dependence on vortex winding and energy levels.

Contribution

It provides a detailed analysis of odd-frequency pair amplitudes at various energy levels and vortex configurations in chiral p-wave superconductors, highlighting their spatial properties and relations to Majorana states.

Findings

Odd-frequency s-wave pair amplitude matches local density of states at zero energy.

Relation holds for finite energy states with anti-parallel vortex winding.

Different vortex winding configurations affect the pair amplitude structure.

Abstract

Solving the Bogoliubov-de Gennes equation, we study the spatial structure of odd-frequency s-wave Cooper pair amplitudes at each quantized energy level of vortex bound states in chiral p-wave superconductors. For zero energy Majorana states, the odd-frequency s-wave pair amplitude has the same spatial structure as that of the local density of states even in atomic length scale. This relation also holds in finite energy bound states for single vortex winding anti-parallel to the chirality, but not for parallel vortex winding. The double winding vortex case is also studied.