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New tools to determine the topological character of Shiba chains

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. 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.
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https://hal-cea.archives-ouvertes.fr/cea-03196089
Contributor : Emmanuelle de Laborderie <>
Submitted on : Monday, April 12, 2021 - 2:34:30 PM
Last modification on : Thursday, April 15, 2021 - 3:29:16 AM
Long-term archiving on: : Tuesday, July 13, 2021 - 6:50:56 PM

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2102.02214.pdf
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  • HAL Id : cea-03196089, version 1
  • ARXIV : 2102.02214

Citation

Nicholas Sedlmayr, Vardan Kaladzhyan, Cristina Bena. New tools to determine the topological character of Shiba chains. 2021. ⟨cea-03196089⟩

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