Analytical and semianalytical tools to determine the topological character of Shiba chains
arXiv:2102.02214 · doi:10.1103/PhysRevB.104.024508
Abstract
We introduce three new analytical and semi-analytical tools that allow one to determine the topological character of impurity Shiba chains. The analytical methods are based on calculating the effective Green's function of an infinite embedded chain using the T-matrix formalism and describing the chain as a {\it line impurity}. We thus provide a solution to the longstanding size-effects problem affecting the only general alternative method, the numerical tight-binding analysis. As an example we consider a chain of magnetic impurities deposited on an s-wave superconducting substrate with Rashba spin-orbit and we calculate its topological phase diagram as a function of the magnetic impurity strength and the chemical potential. We find a perfect agreement between all our new techniques and a numerical analysis.
References in corpus (58)
- Classification of topological quantum matter with symmetries
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Topological superconductors: a review
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Topological superconducting phase in helical Shiba chains
- Majorana Fermions in Semiconductor Nanowires
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Single particle Green's functions and interacting topological insulators
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Self-Organized Topological State with Majorana Fermions
- High-resolution studies of the Majorana atomic chain platform
- Long range coherent magnetic bound states in superconductors
- Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
- Two-dimensional topological superconductivity in Pb/Co/Si(111)
- Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D-Wave Superconductor
- Topological Superconductivity induced by Ferromagnetic Metal Chains
- Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
- A novel platform for two-dimensional chiral topological superconductivity
- Majorana states in helical Shiba chains and ladders
- Strong localization of Majorana end states in chains of magnetic adatoms
- Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
- Unconventional topological phase transitions in helical Shiba chains
- Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
- Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
- Influence of Gap Extrema on the Tunneling Conductance Near an Impurity in an Anisotropic Superconductor
- Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
- Low-energy theory of transport in Majorana wire junctions
- Majorana zero modes on a necklace
- Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
- Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled -wave superconductors
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
- Self-organized topological state in the magnetic chain on the surface of a superconductor
- Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
- Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
- Majorana Fermions in Magnetic Chains
- Topological Phases of Inhomogeneous Superconductivity
- Topological properties of helical Shiba chains with general impurity strength and hybridization
- Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
- Chern mosaic - topology of chiral superconductivity on ferromagnetic adatom lattices
- T-Matrix Formulation of Impurity Scattering in Correlated Systems
- Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
- Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
- On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
- Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
- Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators
- Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
- Identification of topological superconductivity in magnetic impurity systems using bulk spin-polarization
- How to measure the Majorana polarization of a topological planar Josephson junction
- Yu-Shiba-Rusinov bound states versus topological edge states in Pb/Si(111)
- Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: exact solutions via T-matrix
- Controlling topological superconductivity by magnetization dynamics
- Majorana fermions in finite-size strips with in-plane magnetic fields
- First principles study of topological phase in chains of transition metals
- Topology from Triviality
Cited by in corpus (6)
- Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
- Instability of Majorana states in Shiba chains due to leakage into a topological substrate
- Topological Classification of One-Dimensional Chiral Symmetric Interfaces
- Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
- Symmetry-protected topological wire in a topological vacuum