Shiba states in systems with density of states singularities

Abstract

Magnetic impurities placed in the superconductor can lead to emergence of the Yu-Shiba-Rusinov bound states. Coupling between the impurity and the substrate depends on density of states (DOS) at the Fermi level and can be tuned by DOS singularities. In this paper, we study the role of DOS singularities using the real space Bogoliubov-de Gennes equations for chosen lattice models. To uncover the role of these singularities (Dirac point, van Hove singularity, or the flat band), we study honeycomb, kagome, and Lieb lattices. We show that the properties of the Shiba state strongly depends on the type of lattice. Nevertheless some behaviors are generic, e.g. dependence of the critical magnetic coupling on the DOS at the Fermi level. However, the Shiba states realized in the Lieb lattice exhibit extraordinary properties, which can be explained by the presence of a few nonequivalent sublattices. Depending on the location of the magnetic impurity in the chosen sublattice, the value of critical magnetic coupling $J_{\text{c}}$ can be reduced or enhanced when the flat band is located at the Fermi level. In this context, we also present differences in the local DOS and coherence lengths for different sublattices in the Lieb lattice.

8 pages, 5 figures

References in corpus (15)

• Orbital Picture of Yu-Shiba-Rusinov Multiplets
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• Spin-polarized Yu-Shiba-Rusinov states in an iron based superconductor
• Strong coupling nature of kagome superconductivity in LaRu${}_3$Si${}_2$
• Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers
• Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime
• Tuning interactions between spins in a superconductor
• Interfering tunneling paths through magnetic molecules on superconductors: Asymmetries of Kondo and Yu-Shiba-Rusinov resonances
• Long range and highly tunable interaction between local spins coupled to a superconducting condensate
• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
• Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor
• Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
• Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and $\eta$-wave phases study
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Study of Yu-Shiba-Rusinov bound states by tuning the electron density at the Fermi energy

Cited by in corpus (4)

• Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model
• Yu-Shiba-Rusinov states in the s-wave superconducting kagome Hubbard model: Self-consistent Bogoliubov-de Gennes calculations
• Temperature dependent energy gap for Yu-Shiba-Rusinov states at the quantum phase transition