Strongly interacting Majorana modes in an array of Josephson junctions
An array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an effective interaction between the Majorana modes. We demo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/12/125018 |
| _version_ | 1827874338545598464 |
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| author | Fabian Hassler Dirk Schuricht |
| author_facet | Fabian Hassler Dirk Schuricht |
| author_sort | Fabian Hassler |
| collection | DOAJ |
| description | An array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an effective interaction between the Majorana modes. We demonstrate that, even though strong repulsive interaction eventually drives the system into a Mott insulating state, the competition between the (trivial) band insulator and the (trivial) Mott insulator leads to an interjacent topological insulating state for arbitrary strong interactions. |
| first_indexed | 2024-03-12T16:50:49Z |
| format | Article |
| id | doaj.art-a1ebbdb78072429ab43e6ad37c4f621c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:49Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a1ebbdb78072429ab43e6ad37c4f621c2023-08-08T11:11:24ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141212501810.1088/1367-2630/14/12/125018Strongly interacting Majorana modes in an array of Josephson junctionsFabian Hassler0Dirk Schuricht1Institute for Quantum Information, RWTH Aachen University , 52056 Aachen, GermanyInstitute for Theory of Statistical Physics, RWTH Aachen University and JARA—Fundamentals of Future Information Technology, 52056 Aachen, GermanyAn array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an effective interaction between the Majorana modes. We demonstrate that, even though strong repulsive interaction eventually drives the system into a Mott insulating state, the competition between the (trivial) band insulator and the (trivial) Mott insulator leads to an interjacent topological insulating state for arbitrary strong interactions.https://doi.org/10.1088/1367-2630/14/12/125018 |
| spellingShingle | Fabian Hassler Dirk Schuricht Strongly interacting Majorana modes in an array of Josephson junctions New Journal of Physics |
| title | Strongly interacting Majorana modes in an array of Josephson junctions |
| title_full | Strongly interacting Majorana modes in an array of Josephson junctions |
| title_fullStr | Strongly interacting Majorana modes in an array of Josephson junctions |
| title_full_unstemmed | Strongly interacting Majorana modes in an array of Josephson junctions |
| title_short | Strongly interacting Majorana modes in an array of Josephson junctions |
| title_sort | strongly interacting majorana modes in an array of josephson junctions |
| url | https://doi.org/10.1088/1367-2630/14/12/125018 |
| work_keys_str_mv | AT fabianhassler stronglyinteractingmajoranamodesinanarrayofjosephsonjunctions AT dirkschuricht stronglyinteractingmajoranamodesinanarrayofjosephsonjunctions |