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Spin-exchange induced spillover on poor man's Majoranas in minimal Kitaev chains

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Autor(es):
Sanches, J. E. ; Lustosa, L. T. ; Ricco, L. S. ; Sigurosson, H. ; de Souza, M. ; Figueira, M. S. ; Marinho Jr, E. ; Seridonio, A. C.
Número total de Autores: 8
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF PHYSICS-CONDENSED MATTER; v. 37, n. 20, p. 8-pg., 2025-05-19.
Resumo

The 'poor man's Majoranas' (PMMs) (Leijnse and Flensberg 2012 Phys. Rev. B 86 134528) devoid of topological protection can 'spill over' from one edge into another of the minimal Kitaev chain when perturbed electrostatically. As aftermath, this leads to a delocalized Majorana fermion (MF) at both the edges. Additionally, according to recent differential conductance measurements in a pair of superconducting and spinless quantum dots (QDs), such a PMM picture was brought to reality (Dvir et al 2023 Nature 614 445; ten Haaf et al 2024 Nature 630 329). Based on this scenario, we propose the spillover of the PMM when its QD is exchange coupled to a quantum spin S. We show that if this QD is perturbed by the exchange coupling J, solely the half 2S+1 (2S+2) of the fine structure stays explicit for a fermionic (bosonic) S. Concurrently, the other half squeezes itself as the delocalized MF zero-mode. Particularly, turning-off the superconductivity the multiplicity 2S+1 holds regardless the spin statistics. Meanwhile, the PMM spillover induced by J becomes a statistics dependent effect. Hence, our findings contribute to the comprehension of spin-phenomena interplay with superconductivity in minimal Kitaev chains, offering insights for future quantum computing devices hosting PMMs. (AU)

Processo FAPESP: 23/13467-6 - Proposta de estados ligados de Majorana robustos em materiais topológicos e correlacionados de multi Dirac-Weyl com simetria de inversão quebrada
Beneficiário:Antonio Carlos Ferreira Seridonio
Modalidade de apoio: Auxílio à Pesquisa - Regular