Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
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| Format: | Preprint |
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2025
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| _version_ | 1866908342876635136 |
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| author | Sanches, J. E. Lustosa, L. T. Ricco, L. S. Sigurðsson, H. de Souza, M. Figueira, M. S. Marinho Jr., E. Seridonio, A. C. |
| author_facet | Sanches, J. E. Lustosa, L. T. Ricco, L. S. Sigurðsson, H. de Souza, M. Figueira, M. S. Marinho Jr., E. Seridonio, A. C. |
| contents | The "Poor Man's Majoranas" (PMMs) [Phys. Rev. B 86, 134528 (2012)] 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 [Nature 614, 445 (2023) and Nature 630, 329 (2024)]. 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_20321 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains Sanches, J. E. Lustosa, L. T. Ricco, L. S. Sigurðsson, H. de Souza, M. Figueira, M. S. Marinho Jr., E. Seridonio, A. C. Mesoscale and Nanoscale Physics Superconductivity The "Poor Man's Majoranas" (PMMs) [Phys. Rev. B 86, 134528 (2012)] 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 [Nature 614, 445 (2023) and Nature 630, 329 (2024)]. 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. |
| title | Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2504.20321 |