Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor

Abstract

Electronic states in the gap of a superconductor inherit intriguing many-body properties from the superconductor. Here, we create these in-gap states by manipulating Cr atomic chains on the $\beta$-Bi${}_2$Pd superconductor. We find that the topological properties of the in-gap states can greatly vary depending on the crafted spin chain. These systems make an ideal platform for non-trivial topological phases because of the large atom-superconductor interactions and the existence of a large Rashba coupling at the Bi-terminated surface. We study two spin chains, one with atoms two-lattice-parameter apart and one with square-root-of-two lattice parameters. Of these, only the second one is in a topologically non-trivial phase, in correspondence with the spin interactions for this geometry.

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Strong localization of Majorana end states in chains of magnetic adatoms
• Orbital Picture of Yu-Shiba-Rusinov Multiplets
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• Superconductivity at 5.4 K in $\beta$-Bi${}_2$Pd
• Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers
• Atomic-scale spin-polarization maps using functionalized superconducting probes
• Tuning interactions between spins in a superconductor
• Spin Resonance Amplitude and Frequency of a Single Atom on a Surface in a Vector Magnetic Field

Cited by in corpus (20)

• Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
• Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity
• Non-Majorana modes in diluted spin chains proximitized to a superconductor
• Testing the topological nature of end states in antiferromagnetic atomic chains on superconductors
• Majorana quasiparticles in atomic spin chains on superconductors
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
• Systematic study of Mn atoms, artificial dimers and chains on superconducting Ta(110)
• Search for large topological gaps in atomic spin chains on proximitized superconducting heavy metal layers
• Effective low-energy models for superconducting impurity systems
• Shiba states in systems with density of states singularities
• Moiré dispersion of edge states in spin chains on superconductors
• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• Spin-State Engineering of Single Titanium Adsorbates on Ultrathin Magnesium Oxide
• Josephson junction arrays as a platform for topological phases of matter
• Direct signatures of $d$-level hybridization and dimerization in magnetic adatom chains on a superconductor
• Odd-parity ground state in dilute Yu-Shiba-Rusinov dimers and chains
• Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach
• Dimensional crossover of class D real-space topological invariants