Magnetic anisotropy effects on quantum impurities in superconducting host

Abstract

We study the magnetic anisotropy effects on the localized sub-gap excitations induced by quantum impurities coupled to a superconducting host. We establish the ground-state phase diagrams for single-channel and two-channel high-spin Kondo impurities; they unveil surprising complexity that results from the (multi-stage) Kondo screening in competition with the superconducting correlations and the magnetic anisotropy splitting of the spin multiplets. We discuss the possibility of detecting the Zeeman splitting of the sub-gap states, which would provide an interesting spectroscopic tool for studying the magnetism on the single-atom level. We also study the problem of two impurities coupled by the Heisenberg exchange interaction, and we follow the evolution of the sub-gap states for both antiferromagnetic and ferromagnetic coupling. For sufficiently strong antiferromagnetic coupling, the impurities bind into a singlet state that is non-magnetic, thus the sub-gap states move to the edge of the gap and can no longer be discerned. For ferromagnetic coupling, some excited states remain present inside the gap.

14 pages, 16 figures (significantly extended version, includes a section on the two-impurity effects)

References in corpus (37)

• Topological Insulators in Three Dimensions
• The numerical renormalization group method for quantum impurity systems
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Scanning tunneling spectroscopy of high-temperature superconductors
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• Magnetic impurities on the surface of a topological insulator
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Defects in correlated metals and superconductors
• The role of magnetic anisotropy in the Kondo effect
• Energy resolution and discretization artefacts in the numerical renormalization group
• Exchange interaction between single magnetic adatoms
• Quantum tunneling induced Kondo effect in single molecular magnets
• Impurity-Induced Bound Excitations on the Surface of Bi2Sr2CaCu2O8
• Local Electronic Structure of a Single Magnetic Impurity in a Superconductor
• Berry Phase Oscillations of the Kondo Effect in Single-Molecule Magnets
• Magnetic Doping and Kondo Effect in Bi2Se3 Nanoribbons
• Quasiparticle scattering in two dimensional helical liquid
• Local Electronic Structure of Defects in Superconductors
• The local spectrum of a superconductor as a probe of interactions between magnetic impurities
• Transition-metal dimers and physical limits on magnetic anisotropy
• Observing Spin Polarization of Individual Magnetic Adatoms
• Properties of anisotropic magnetic impurities on surfaces
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Kondo effect in single-molecule magnet transistors
• Josephson current in strongly correlated double quantum dots
• Splitting of the Kondo resonance in anisotropic magnetic impurities on surfaces
• Quantum impurity on the surface of a topological insulator
• Anderson Impurity in Helical Metal
• Proximity effect and strong coupling superconductivity in nanostructures built with an STM
• Josephson Effect through an isotropic magnetic molecule
• Josephson effect through a multilevel dot near a singlet-triplet transition
• Single Impurity Effects in Multiband Superconductors with Different Sign Order Parameters
• Spin and orbital effects of Cooper pairs coupled to a single magnetic impurity

Cited by in corpus (50)

• Single magnetic adsorbates on s-wave superconductors
• Tunneling processes into localized subgap states in superconductors
• Magnetic anisotropy in Shiba bound states across a quantum phase transition
• Orbital Picture of Yu-Shiba-Rusinov Multiplets
• Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe${}_2$
• Mapping the orbital structure of impurity bound states in a superconductor
• Wave-function hybridization in Yu-Shiba-Rusinov dimers
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Yu-Shiba-Rusinov screening of spins in double quantum dots
• Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
• Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime
• Supercurrent in a double quantum dot
• Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
• Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
• Phase diagram and excitations of a Shiba molecule
• Yu-Shiba-Rusinov states in real metals
• Observation of tunable single-atom Yu-Shiba-Rusinov states
• Coupled Yu-Shiba-Rusinov states induced by a many-body molecular spin on a superconductor
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
• Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
• Spectral properties of Shiba sub-gap states at finite temperatures
• Pair excitations of a quantum spin on a proximitized superconductor
• Quantum Yu-Shiba-Rusinov dimers
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Competition between quantum spin tunneling and Kondo effect
• Zeeman effects on Yu-Shiba-Rusinov states
• Non-Fermi-liquid behavior in quantum impurity models with superconducting channels
• Inductive microwave response of Yu-Shiba-Rusinov states
• Magnetic Impurities on Superconducting Surfaces: Phase Transitions and the Role of Impurity-Substrate Hybridization
• Yu-Shiba-Rusinov states of single magnetic molecule in an $s-wave$ superconductor
• Tracking a Spin-Polarized Superconducting Bound State across a Quantum Phase Transition
• Phase shift and magnetic anisotropy induced field splitting of impurity states in (Li1-xFex)OHFeSe superconductor
• Diamagnetic property and optical absorption in conventional superconductors with magnetic impurities
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Quantum phase transition in magnetic nanographenes on a lead superconductor
• Theory of a Single Magnetic Impurity on a Thin Metal Film in Proximity to a Superconductor
• Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
• Quantum spin driven Yu-Shiba-Rusinov multiplets and fermion-parity-preserving phase transition in K${}_3$C${}_{60}$
• Magnetic bound states embedded in tantalum superconducting thin films
• Anisotropic Kondo screening induced by spin-orbit coupling in quantum wires
• Suppressed Josephson phase transition in one parallel double-quantum-dot junction
• Quantifying the quantum nature of high spin YSR excitations in transverse magnetic field
• High-Resolution Spectroscopy of the Intermediate Impurity States near a Quantum Phase Transition
• Superconducting quantum dot and the sub-gap states
• Anisotropy and spin-fluctuation effects on the spectral properties of Shiba impurities
• Investigation of the Yu-Shiba-Rusinov states of a multi-impurity Kondo system
• Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• A Large-$N$ Approach to Magnetic Impurities in Superconductors