Quantum Yu-Shiba-Rusinov dimers
arXiv:2203.15011 · doi:10.1103/PhysRevB.105.235406
Abstract
Magnetic adatoms on a superconducting substrate undergo a quantum phase transition as their exchange coupling to the conduction electrons increases. For quantum spins, this transition is accompanied by screening of the adatom spin. Here, we explore the consequences of this screening for the phase diagrams and subgap excitation spectra of dimers of magnetic adatoms coupled by hybridization of their Yu-Shiba-Rusinov states and spin-spin interactions. We specifically account for higher spins, single-ion anisotropy, Ruderman-Kittel-Kasuya-Yosida coupling, and Dzyaloshinsky-Moriya interactions relevant in transition-metal and rare-earth systems. Our flexible approach based on a zero-bandwidth approximation provides detailed physical insight and is in excellent qualitative agreement with available numerical-renormalization group calculations on monomers and dimers. Remarkably, we find that even in the limit of large impurity spins or strong single-ion anisotropy, the phase diagrams for dimers of quantum spins remain qualitatively distinct from phase diagrams based on classical spins, highlighting the need for a theory of quantum Yu-Shiba-Rusinov dimers.
arXiv comment17 pages, 12 figures
References in corpus (34)
- Topological superconducting phase in helical Shiba chains
- The role of magnetic anisotropy in the Kondo effect
- Josephson and Andreev transport through quantum dots
- Single magnetic adsorbates on s-wave superconductors
- Majorana states in helical Shiba chains and ladders
- Protection of excited spin states by a superconducting energy gap
- Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
- Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe
- Wave-function hybridization in Yu-Shiba-Rusinov dimers
- Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
- Probing magnetic interactions between Cr adatoms on the -BiPd superconductor
- Yu-Shiba-Rusinov screening of spins in double quantum dots
- Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers
- Superconducting Gap Renormalization around two Magnetic Impurities: From Shiba to Andreev Bound States
- Yu-Shiba-Rusinov states in phase-biased S-QD-S junctions
- Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
- Magnetic anisotropy effects on quantum impurities in superconducting host
- Josephson current in strongly correlated double quantum dots
- Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime
- Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
- Tunneling dynamics between superconducting bound states at the atomic limit
- Majorana Fermions in Magnetic Chains
- Tuning interactions between spins in a superconductor
- Phase diagram and excitations of a Shiba molecule
- Yu-Shiba-Rusinov states in real metals
- Observation of tunable single-atom Yu-Shiba-Rusinov states
- Two-Impurity Yu-Shiba-Rusinov States in Coupled Quantum Dots
- Coupled Yu-Shiba-Rusinov states induced by a many-body molecular spin on a superconductor
- Interfering tunneling paths through magnetic molecules on superconductors: Asymmetries of Kondo and Yu-Shiba-Rusinov resonances
- Yu-Shiba-Rusinov qubit
- Long range and highly tunable interaction between local spins coupled to a superconducting condensate
- Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
- Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
- Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces