A simple electronic ladder model harboring $\mathbb{Z}_4$ parafermions
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929471975587840 |
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| author | Osváth, Botond Barcza, Gergely Legeza, Örs Dóra, Balázs Oroszlány, László |
| author_facet | Osváth, Botond Barcza, Gergely Legeza, Örs Dóra, Balázs Oroszlány, László |
| contents | Parafermions are anyons with the potential for realizing non-local qubits that are resilient to local perturbations. Compared to Majorana zero modes, braiding of parafermions implements an extended set of topologically protected quantum gates. This, however, comes at the price that parafermionic zero modes can not be realized in the absence of strong interactions whose theoretical description is challenging. In the present work, we construct a simple lattice model for interacting spinful electrons with parafermionic zero energy modes. The explicit microscopic nature of the considered model highlights new realization avenues for these exotic excitations in recently fabricated quantum dot arrays. By density matrix renormalization group calculations, we identify a broad range of parameters, with well-localized zero modes, whose parafermionic nature is substantiated by their unique $8π$ periodic Josephson spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07359 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A simple electronic ladder model harboring $\mathbb{Z}_4$ parafermions Osváth, Botond Barcza, Gergely Legeza, Örs Dóra, Balázs Oroszlány, László Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity Parafermions are anyons with the potential for realizing non-local qubits that are resilient to local perturbations. Compared to Majorana zero modes, braiding of parafermions implements an extended set of topologically protected quantum gates. This, however, comes at the price that parafermionic zero modes can not be realized in the absence of strong interactions whose theoretical description is challenging. In the present work, we construct a simple lattice model for interacting spinful electrons with parafermionic zero energy modes. The explicit microscopic nature of the considered model highlights new realization avenues for these exotic excitations in recently fabricated quantum dot arrays. By density matrix renormalization group calculations, we identify a broad range of parameters, with well-localized zero modes, whose parafermionic nature is substantiated by their unique $8π$ periodic Josephson spectrum. |
| title | A simple electronic ladder model harboring $\mathbb{Z}_4$ parafermions |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2311.07359 |