Crystalline-Symmetry-Protected Majorana Modes in Coupled Quantum Dots
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914852280205312 |
|---|---|
| author | Pandey, Bradraj Alvarez, Gonzalo Dagotto, Elbio Zhang, Rui-Xing |
| author_facet | Pandey, Bradraj Alvarez, Gonzalo Dagotto, Elbio Zhang, Rui-Xing |
| contents | 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 experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00158 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crystalline-Symmetry-Protected Majorana Modes in Coupled Quantum Dots Pandey, Bradraj Alvarez, Gonzalo Dagotto, Elbio Zhang, Rui-Xing Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity 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 experiments. |
| title | Crystalline-Symmetry-Protected Majorana Modes in Coupled Quantum Dots |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2407.00158 |