Recursion method for the quasiparticle structure of a single vortex with induced magnetic order

TL;DR

This paper introduces a real-space recursion method to analyze the local density of states around vortices in a superconductor with magnetic order, predicting features observable by STM.

Contribution

It develops a novel recursion approach to study quasiparticle structures in superconductors with magnetic order, including vortex cores and stripe formations.

Findings

LDOS features depend on magnetic order type

Fourier components reveal magnetic field-induced order

Predicted STM signatures for magnetic vortices

Abstract

We use a real-space recursion method to calculate the local density of states (LDOS) within a model that contains both d-wave superconducting and antiferromagnetic order. We focus on the LDOS in the superconducting phase near single vortices with either normal or antiferromagnetic cores. Furthermore, we study the low-energy quasiparticle structure when magnetic vortices operate as pinning centers for surrounding unidirectional spin density waves (stripes). We calculate the Fourier transformed LDOS and show how the energy dependence of relevant Fourier components can be used to determine the nature of the magnetic field-induced order, and predict field-induced LDOS features that can be tested by future scanning tunneling microscopy (STM) experiments.