Majorana zero modes in Y-shape interacting Kitaev wires
| Autor: | Pandey, Bradraj, Kaushal, Nitin, Alvarez, Gonzalo, Dagotto, Elbio |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | npj Quantum Mater. 8, 51 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1038/s41535-023-00584-5 |
| Popis: | Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in $Y$-shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot ($t_h=\Delta$) and derive the exact form of MZM wave-functions in this geometry. The novelty of our result is the observation of multi-site MZMs located near the junction center on the nearby edge sites of each leg. This result is important for potential braiding of Majoranas and the performance of $Y$-junctions made from arrays of quantum dots. Furthermore, we study the stability of local (single-site) and multi-site MZMs modes in the presence of Coulomb repulsion, using density matrix renormalization group theory. Our local density-of-states calculation shows that these multi-site MZMs are as equally topologically protected as the single-site MZMs when in the presence of Coulomb repulsion or when away from the sweet-spot. Comment: 8 pages and 5 figures |
| Databáze: | arXiv |
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