Majorana zero modes in Y-shape interacting Kitaev wires
Abstract 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 = Δ) and derive the exact form of MZM wave-functions...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-09-01
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| Series: | npj Quantum Materials |
| Online Access: | https://doi.org/10.1038/s41535-023-00584-5 |
| _version_ | 1797454049273970688 |
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| author | Bradraj Pandey Nitin Kaushal Gonzalo Alvarez Elbio Dagotto |
| author_facet | Bradraj Pandey Nitin Kaushal Gonzalo Alvarez Elbio Dagotto |
| author_sort | Bradraj Pandey |
| collection | DOAJ |
| description | Abstract 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 = Δ) and derive the exact form of MZM wave-functions in this geometry. We observed exotic 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. |
| first_indexed | 2024-03-09T15:31:39Z |
| format | Article |
| id | doaj.art-dac4b31c05f344dc9a2aea092f96095c |
| institution | Directory Open Access Journal |
| issn | 2397-4648 |
| language | English |
| last_indexed | 2024-03-09T15:31:39Z |
| publishDate | 2023-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Materials |
| spelling | doaj.art-dac4b31c05f344dc9a2aea092f96095c2023-11-26T12:15:11ZengNature Portfolionpj Quantum Materials2397-46482023-09-01811810.1038/s41535-023-00584-5Majorana zero modes in Y-shape interacting Kitaev wiresBradraj Pandey0Nitin Kaushal1Gonzalo Alvarez2Elbio Dagotto3Department of Physics and Astronomy, The University of TennesseeMaterials Science and Technology Division, Oak Ridge National LaboratoryComputational Sciences and Engineering DivisionDepartment of Physics and Astronomy, The University of TennesseeAbstract 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 = Δ) and derive the exact form of MZM wave-functions in this geometry. We observed exotic 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.https://doi.org/10.1038/s41535-023-00584-5 |
| spellingShingle | Bradraj Pandey Nitin Kaushal Gonzalo Alvarez Elbio Dagotto Majorana zero modes in Y-shape interacting Kitaev wires npj Quantum Materials |
| title | Majorana zero modes in Y-shape interacting Kitaev wires |
| title_full | Majorana zero modes in Y-shape interacting Kitaev wires |
| title_fullStr | Majorana zero modes in Y-shape interacting Kitaev wires |
| title_full_unstemmed | Majorana zero modes in Y-shape interacting Kitaev wires |
| title_short | Majorana zero modes in Y-shape interacting Kitaev wires |
| title_sort | majorana zero modes in y shape interacting kitaev wires |
| url | https://doi.org/10.1038/s41535-023-00584-5 |
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