Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe$_{2}$ with spin orbit coupling

TL;DR

This paper investigates Yu-Shiba-Rusinov states of magnetic impurities in a superconducting NbSe2 lattice, revealing the effects of spin-orbit coupling and impurity configurations on bound state properties.

Contribution

It introduces a theoretical analysis of Yu-Shiba-Rusinov states considering spin-orbit interaction and impurity arrangements in a triangular lattice.

Findings

Oscillating particle-hole asymmetry extends over tens of nanometers.

Spin-orbit coupling influences the structure of bound states.

Impurity configurations affect the bound state characteristics.

Abstract

We study topography of the spin-polarized bound states of magnetic impurities embedded in triangular lattice of a superconducting host. Such states have been observed experimentally in 2H-NbSe$_{2}$ crystal [G. C. M'enard et al., Nat.Phys. 11, 1013 (2015)] and revealed the oscillating particle-hole asymmetry extending to tens of nanometers. Using the Bogoliubov-de Gennes approach we explore the Yu-Shiba-Rusinov states in presence of spin-orbit interaction. We also study the bound states of double impurities for several relative positions in a triangular lattice.