Bound states induced by the ferromagnetic dimer in a triangular lattice

TL;DR

This paper investigates Yu-Shiba-Rusinov bound states caused by a ferromagnetic dimer in a 2D triangular lattice superconductor, revealing how impurity coupling affects in-gap state topographies.

Contribution

It provides a detailed analysis of bound states induced by magnetic dimers in 2D superconductors using the Bogoliubov--de Gennes formalism, highlighting the influence of impurity coupling.

Findings

Bound state topographies vary with impurity coupling.

In-gap states are spin-polarized and spatially extended.

The study offers insights into manipulating topological phases in 2D materials.

Abstract

The ongoing efforts aiming at control and manipulation of novel topological phases renewed the interest in bound states induced in superconducting substrates by magnetic impurities. First described by Yu, Shiba and Rusinov, those bound states are spin-polarized and exhibit a rather large spatial extent in two dimensional (2D) materials. Here, using the Bogoliubov--de~Gennes formalism, we study the Yu--Shiba--Rusinov bound states induced by a ferromagnetic dimer in 2D triangular lattice. We describe various topographies of the in-gap bound states, depending on the coupling between impurities and superconducting host.