Crystalline-symmetry-protected Majorana modes in coupled quantum dots
We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site artificial Kitaev chains in a similar setup. We find that intr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L012022 |
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| author | Bradraj Pandey Gonzalo Alvarez Elbio Dagotto Rui-Xing Zhang |
| author_facet | Bradraj Pandey Gonzalo Alvarez Elbio Dagotto Rui-Xing Zhang |
| author_sort | Bradraj Pandey |
| collection | DOAJ |
| description | We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site artificial Kitaev chains in a similar setup. We find that introducing a π-phase domain wall in the Kitaev chain leads to a pair of mirror-protected Majorana zero modes located at or near the junction. Joining two π junctions into a closed loop, we can simulate two distinct classes of two-dimensional higher-order topological superconducting phases, both carrying symmetry-protected Majorana modes around the sample corners. As an extension of the π junction, we further consider a general vertex structure where n Kitaev chains meet, i.e., a Kitaev n vertex. We prove that such an n vertex, if respecting a dihedral symmetry group D_{n}, necessarily carries n vertex-bound Majorana modes protected by the D_{n} symmetry. Resilience of the junction and vertex Majorana bound states against disorder and correlation effects is also discussed. Our architecture paves the way for designing, constructing, and exploring a wide variety of artificial topological crystalline phases in quantum-dot experiments. |
| format | Article |
| id | doaj-art-79755d5a79a945e2b6f868929f9c12d3 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-79755d5a79a945e2b6f868929f9c12d32025-01-27T15:06:39ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-0171L01202210.1103/PhysRevResearch.7.L012022Crystalline-symmetry-protected Majorana modes in coupled quantum dotsBradraj PandeyGonzalo AlvarezElbio DagottoRui-Xing ZhangWe propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site artificial Kitaev chains in a similar setup. We find that introducing a π-phase domain wall in the Kitaev chain leads to a pair of mirror-protected Majorana zero modes located at or near the junction. Joining two π junctions into a closed loop, we can simulate two distinct classes of two-dimensional higher-order topological superconducting phases, both carrying symmetry-protected Majorana modes around the sample corners. As an extension of the π junction, we further consider a general vertex structure where n Kitaev chains meet, i.e., a Kitaev n vertex. We prove that such an n vertex, if respecting a dihedral symmetry group D_{n}, necessarily carries n vertex-bound Majorana modes protected by the D_{n} symmetry. Resilience of the junction and vertex Majorana bound states against disorder and correlation effects is also discussed. Our architecture paves the way for designing, constructing, and exploring a wide variety of artificial topological crystalline phases in quantum-dot experiments.http://doi.org/10.1103/PhysRevResearch.7.L012022 |
| spellingShingle | Bradraj Pandey Gonzalo Alvarez Elbio Dagotto Rui-Xing Zhang Crystalline-symmetry-protected Majorana modes in coupled quantum dots Physical Review Research |
| title | Crystalline-symmetry-protected Majorana modes in coupled quantum dots |
| title_full | Crystalline-symmetry-protected Majorana modes in coupled quantum dots |
| title_fullStr | Crystalline-symmetry-protected Majorana modes in coupled quantum dots |
| title_full_unstemmed | Crystalline-symmetry-protected Majorana modes in coupled quantum dots |
| title_short | Crystalline-symmetry-protected Majorana modes in coupled quantum dots |
| title_sort | crystalline symmetry protected majorana modes in coupled quantum dots |
| url | http://doi.org/10.1103/PhysRevResearch.7.L012022 |
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