Superconducting Gap Renormalization around two Magnetic Impurities: From Shiba to Andreev Bound States
arXiv:1501.07901 · doi:10.1103/PhysRevB.92.064503
Abstract
We study the renormalization of the gap of an s-wave superconductor in the presence of two magnetic impurities. For weakly bound Shiba states, we analytically calculate the part of the gap renormalization that is sensitive to the relative orientation of the two impurity spins. For impurities with a strong exchange coupling to the conduction electrons, we solve the gap equation self-consistently by numerics and find that the sub-gap Shiba state turns into a supra-gap Andreev state when the local gap parameter changes sign under the impurities.
6 pages, 4 figures - final version
References in corpus (5)
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Self-organized topological state in the magnetic chain on the surface of a superconductor
- RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
- Phase diagram and excitations of a Shiba molecule
- Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
Cited by in corpus (49)
- High-resolution studies of the Majorana atomic chain platform
- Single magnetic adsorbates on s-wave superconductors
- Strong localization of Majorana end states in chains of magnetic adatoms
- Tuning the coupling of an individual magnetic impurity to a superconductor: quantum phase transition and transport
- Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe
- Metallization of Rashba wire by superconducting layer in the strong-proximity regime
- Currents induced by magnetic impurities in superconductors with spin-orbit coupling
- Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
- Topological Phases of Inhomogeneous Superconductivity
- Yu-Shiba-Rusinov states in real metals
- Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
- Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
- Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe with spin orbit coupling
- Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
- Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors
- Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
- Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
- Quantum Yu-Shiba-Rusinov dimers
- Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
- Superconducting order parameter -phase shift in magnetic impurity wires
- Experimental review on Majorana zero-modes in hybrid nanowires
- Friedel oscillations and Majorana zero modes in inhomogeneous superconductors
- Determining the spin-orbit coupling via spin-polarized spectroscopy of magnetic impurities
- Impurity states in altermagnetic superconductors
- Well-defined Fano effect in the Andreev reflection process of a parallel double-quantum-dot structure
- Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
- Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
- Boosting the STM's spatial and energy resolution with double-functionalized probe tips
- Quasiparticle focusing of bound states in two-dimensional -wave superconductors
- Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
- Subgap dynamics of double quantum dot coupled between superconducting and normal leads
- Josephson current in a normal-metal nanowire coupled to superconductor/ferromagnet/superconductor junction
- Ferromagnetic Impurity Induced Majorana Zero Mode in Iron-Based Superconductor
- Yu-Shiba-Rusinov states in a superconductor with topological Z2 bands
- An odd-frequency Cooper pair around a magnetic impurity
- Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
- Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
- Stealth Majorana Zero Mode in a Trilayer Heterostructure MnTe/Bi2Te3/Fe(Te,Se)
- RKKY interaction at helical edges of topological superconductors
- Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states
- Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor
- Topological Classification of One-Dimensional Chiral Symmetric Interfaces
- In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
- Spectral properties of Andreev crystals
- Temperature dependent energy gap for Yu-Shiba-Rusinov states at the quantum phase transition
- Bound states induced by the ferromagnetic dimer in a triangular lattice
- Renormalization approach to the superconducting Kondo model
- Transient triplet blockade in Andreev junction
- Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach