Statistical Signatures of Majorana Zero Modes in Disordered Topological Superconductor Antidot Vortices
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917403702591488 |
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| author | Ren, Zhibo Väyrynen, Jukka I. |
| author_facet | Ren, Zhibo Väyrynen, Jukka I. |
| contents | An antidot-pinned vortex in a three-dimensional topological insulator-superconductor platform hosts a Majorana zero mode (MZM). However, numerous Caroli-de Gennes-Matricon (CdGM) states coexist with it. We develop a general theory to study the effects of disorder on the system, emphasizing the difference between Majorana zero mode and CdGM states. Using both an analytical random matrix theory approach and numerical simulations, we derive the statistical distributions of these states. Our results demonstrate that the variance of the MZM probability density is twice that of the CdGM states, a difference due to the former having a real wave function as opposed to a complex one. This distinction can be measured by using scanning tunneling microscopy in a disordered antidot vortex, providing a signature of MZM beyond the zero-bias conductance peak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Statistical Signatures of Majorana Zero Modes in Disordered Topological Superconductor Antidot Vortices Ren, Zhibo Väyrynen, Jukka I. Superconductivity An antidot-pinned vortex in a three-dimensional topological insulator-superconductor platform hosts a Majorana zero mode (MZM). However, numerous Caroli-de Gennes-Matricon (CdGM) states coexist with it. We develop a general theory to study the effects of disorder on the system, emphasizing the difference between Majorana zero mode and CdGM states. Using both an analytical random matrix theory approach and numerical simulations, we derive the statistical distributions of these states. Our results demonstrate that the variance of the MZM probability density is twice that of the CdGM states, a difference due to the former having a real wave function as opposed to a complex one. This distinction can be measured by using scanning tunneling microscopy in a disordered antidot vortex, providing a signature of MZM beyond the zero-bias conductance peak. |
| title | Statistical Signatures of Majorana Zero Modes in Disordered Topological Superconductor Antidot Vortices |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2604.11692 |