Spin-1 Haldane chains of superconductor-semiconductor hybrids
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| Format: | Preprint |
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2024
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| _version_ | 1866913455677636608 |
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| author | Baran, Virgil V. Paaske, Jens |
| author_facet | Baran, Virgil V. Paaske, Jens |
| contents | We theoretically explore the possibility of realizing the symmetry-protected topological Haldane phase of spin-1 chains in a tunable hybrid platform of superconducting islands (SIs) and quantum dots (QDs). Inspired by recent findings suggesting that an appropriately tuned QD-SI-QD block may behave as a robust spin-1 unit, we study the behavior of many such units tunnel-coupled into linear chains. Our efficient and fully microscopic modeling of long chains with several tens of units is enabled by the use of the surrogate model solver [Phys. Rev. B 108, L220506 (2023); arXiv:2402.18357]. Our numerical findings indicate that the QD-SI-QD chains exhibit emblematic features of the Haldane phase, such as fractional spin-1/2 edge states and non-vanishing string order parameters, and that these persist over a sizeable region of parameter space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_12207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin-1 Haldane chains of superconductor-semiconductor hybrids Baran, Virgil V. Paaske, Jens Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity We theoretically explore the possibility of realizing the symmetry-protected topological Haldane phase of spin-1 chains in a tunable hybrid platform of superconducting islands (SIs) and quantum dots (QDs). Inspired by recent findings suggesting that an appropriately tuned QD-SI-QD block may behave as a robust spin-1 unit, we study the behavior of many such units tunnel-coupled into linear chains. Our efficient and fully microscopic modeling of long chains with several tens of units is enabled by the use of the surrogate model solver [Phys. Rev. B 108, L220506 (2023); arXiv:2402.18357]. Our numerical findings indicate that the QD-SI-QD chains exhibit emblematic features of the Haldane phase, such as fractional spin-1/2 edge states and non-vanishing string order parameters, and that these persist over a sizeable region of parameter space. |
| title | Spin-1 Haldane chains of superconductor-semiconductor hybrids |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2404.12207 |