Analytical and semianalytical tools to determine the topological character of Shiba chains
| Autor: | Nicholas Sedlmayr, Vardan Kaladzhyan, C. Bena |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Superconductivity
Physics Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Superconductivity Numerical analysis FOS: Physical sciences Function (mathematics) Topology Superconductivity (cond-mat.supr-con) Character (mathematics) Chain (algebraic topology) Impurity Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Phase diagram Magnetic impurity |
| Zdroj: | Physical Review B. 104 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.104.024508 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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