Impurity-induced bound states in superconductors with spin-orbit coupling

Abstract

We study the effect of strong spin-orbit coupling (SOC) on bound states induced by impurities in superconductors. The presence of spin-orbit coupling breaks the $\mathbb{SU}(2)$-spin symmetry and causes the superconducting order parameter to have generically both singlet (s-wave) and triplet (p-wave) components. We find that in the presence of SOC the spectrum of Yu-Shiba-Rusinov (YSR) states is qualitatively different in s-wave and p-wave superconductor, a fact that can be used to identify the superconducting pairing symmetry of the host system. We also predict that in the presence of SOC the spectrum of the impurity-induced bound states depends on the orientation of the magnetic moment $\mathbf{S}$ of the impurity and, in particular, that by changing the orientation of $\mathbf{S}$ the fermion-parity of the lowest energy bound state can be tuned. We then study the case of a dimer of magnetic impurities and show that in this case the YSR spectrum for a p-wave superconductor is qualitatively very different from the one for an s-wave superconductor even in the limit of vanishing SOC. Our predictions can be used to distinguish the symmetry of the order parameter and have implications for the Majorana proposals based on chains of magnetic atoms placed on the surface of superconductors with strong spin-orbit coupling.

References in corpus (48)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Majorana fermions in chains of magnetic atoms on a superconductor
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Topological superconducting phase in helical Shiba chains
• Unconventional superconductivity on a topological insulator
• Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Self-Organized Topological State with Majorana Fermions
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Search for Majorana fermions in multiband semiconducting nanowires
• How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
• Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Topological Superconductivity induced by Ferromagnetic Metal Chains
• Majorana fermions in superconducting helical magnets
• Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
• Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Local Electronic Structure of a Single Magnetic Impurity in a Superconductor
• Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
• Resonant Impurity Scattering in a Strongly Correlated Electron Model
• Local Electronic Structure of Defects in Superconductors
• Topological Superconductivity and Majorana Fermions in Metallic Surface-States
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Topologically non-trivial superconductivity in spin-orbit coupled systems: Bulk phases and quantum phase transitions
• Bound States of Defects in Superconducting LiFeAs Studied by Scanning Tunneling Spectroscopy
• Impurity and interface bound states in $d_{x^2-y^2}+i{d}_{xy}$ and $p_x+i{p}_y$ superconductors
• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Impurity resonance states in noncentrosymmetric superconductor $CeP{t}_{3}Si$: a probe for Cooper-pairing symmetry
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors

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• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
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• Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
• Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor
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• Impurity bound states in fully gapped $d$-wave superconductors with subdominant order parameters
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• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
• Bound states around impurities in a superconducting bilayer
• Influence of Rashba spin-orbit coupling on the 0-$\pi$ transition and Kondo temperature in 1D superconductors
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• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• Spectral properties of superconductors with ferromagnetically ordered magnetic impurities
• Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states
• Anomalous Shiba spectrum and superconductivity induced magnetic interactions in materials with topological band inversion
• Interplay between pairing and correlations in spin-polarized bound states
• Spin-polarized zero-bias peak from a single magnetic impurity at an s-wave superconductor: first-principles study
• Exotic Topological Phenomena in Chiral Superconducting States on Doped Quantum Spin Hall Insulators with Honeycomb Lattices