Intertwining Josephson and Vortex Topologies in Conventional Superconductors

Fuente: arXiv
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Auteurs principaux: Chen, Zhuo, Li, Jiangxu, Hu, Lun-Hui, Bi, Zhen, Zhang, Rui-Xing
Format: Preprint
Publié: 2025
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author Chen, Zhuo
Li, Jiangxu
Hu, Lun-Hui
Bi, Zhen
Zhang, Rui-Xing
author_facet Chen, Zhuo
Li, Jiangxu
Hu, Lun-Hui
Bi, Zhen
Zhang, Rui-Xing
contents Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio approaches, has been limited by the computational complexity of simulating vortex structures. To bridge this gap, we introduce the Josephson-vortex correspondence (JVC), a theoretical framework that systematically maps the bound-state topological properties of vortices to those of $π$-phase Josephson junctions in the same superconductor. This correspondence allows vortex phase diagrams to be constructed directly from junction calculations, thereby eliminating the need for large-scale vortex calculations. We demonstrate the validity and predictive power of JVC across a variety of effective models, and further extend the framework to the first-principles level. Applying our approach to 2M-WS$_2$ and Sr$_3$SnO, we identify them as realistic, doping-tunable platforms for realizing vortex Majorana zero modes. Our theory will pave the way for ab initio Majorana material discovery and design.
format Preprint
id arxiv_https___arxiv_org_abs_2504_07066
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intertwining Josephson and Vortex Topologies in Conventional Superconductors
Chen, Zhuo
Li, Jiangxu
Hu, Lun-Hui
Bi, Zhen
Zhang, Rui-Xing
Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio approaches, has been limited by the computational complexity of simulating vortex structures. To bridge this gap, we introduce the Josephson-vortex correspondence (JVC), a theoretical framework that systematically maps the bound-state topological properties of vortices to those of $π$-phase Josephson junctions in the same superconductor. This correspondence allows vortex phase diagrams to be constructed directly from junction calculations, thereby eliminating the need for large-scale vortex calculations. We demonstrate the validity and predictive power of JVC across a variety of effective models, and further extend the framework to the first-principles level. Applying our approach to 2M-WS$_2$ and Sr$_3$SnO, we identify them as realistic, doping-tunable platforms for realizing vortex Majorana zero modes. Our theory will pave the way for ab initio Majorana material discovery and design.
title Intertwining Josephson and Vortex Topologies in Conventional Superconductors
topic Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2504.07066