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Title: Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor

Abstract

Braiding Majorana zero modes is essential for fault-tolerant topological quantum computing. Iron-based superconductors with nontrivial band topology have recently emerged as a surprisingly promising platform for creating distinct Majorana zero modes in magnetic vortices in a single material and at relatively high temperatures. The magnetic field-induced Abrikosov vortex lattice makes it difficult to braid a set of Majorana zero modes or to study the coupling of a Majorana doublet due to overlapping wave functions. Here we report the observation of the proposed quantum anomalous vortex with integer quantized vortex core states and the Majorana zero mode induced by magnetic Fe adatoms deposited on the surface. We observe its hybridization with a nearby field-induced Majorana vortex in iron-based superconductor FeTe0.55Se0.45. We also observe vortex-free Yu-Shiba-Rusinov bound states at the Fe adatoms with a weaker coupling to the substrate, and discover a reversible transition between Yu-Shiba-Rusinov states and Majorana zero mode by manipulating the exchange coupling strength. The dual origin of the Majorana zero modes, from magnetic adatoms and external magnetic field, provides a new single-material platform for studying their interactions and braiding in superconductors bearing topological band structures.

Authors:
 [1];  [1];  [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [3];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [4];  [3];  [3];  [5];  [5];  [5];  [6]; ORCiD logo [7]; ORCiD logo [8]
  1. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Univ. of Chinese Academy of Sciences, Beijing (China)
  2. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Univ. of Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan (China)
  3. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Univ. of Chinese Academy of Sciences, Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China). CAS Center for Excellence in Topological Quantum Computation
  4. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Boston College, Boston, MA (United States)
  5. Brookhaven National Lab. (BNL), Upton, NY (United States)
  6. Boston College, Boston, MA (United States)
  7. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Songshan Lake Materials Lab., Dongguan (China); Univ. of Chinese Academy of Sciences, Beijing (China). CAS Center for Excellence in Topological Quantum Computation
  8. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Univ. of Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan (China); Univ. of Chinese Academy of Sciences, Beijing (China). CAS Center for Excellence in Topological Quantum Computation
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); National Key R&D Projects of China; Chinese Academy of Sciences
OSTI Identifier:
1781513
Report Number(s):
BNL-221355-2021-JAAM
Journal ID: ISSN 2041-1723; TRN: US2209919
Grant/Contract Number:  
SC0012704; FG02-99ER45747; 11888101; 61888102; 11674371; 52022105; 2016YFA0202300; 2018YFA0305800; 2019YFA0308500; XDB28000000; XDB07000000; 112111KYSB20160061
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 12; Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconducting properties and materials; surfaces, interfaces and thin films; topological defects

Citation Formats

Fan, Peng, Yang, Fazhi, Qian, Guojian, Chen, Hui, Zhang, Yu-Yang, Li, Geng, Huang, Zihao, Xing, Yuqing, Kong, Lingyuan, Liu, Wenyao, Jiang, Kun, Shen, Chengmin, Du, Shixuan, Schneeloch, John, Zhong, Ruidan, Gu, Genda, Wang, Ziqiang, Ding, Hong, and Gao, Hong-Jun. Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor. United States: N. p., 2021. Web. doi:10.1038/s41467-021-21646-x.
Fan, Peng, Yang, Fazhi, Qian, Guojian, Chen, Hui, Zhang, Yu-Yang, Li, Geng, Huang, Zihao, Xing, Yuqing, Kong, Lingyuan, Liu, Wenyao, Jiang, Kun, Shen, Chengmin, Du, Shixuan, Schneeloch, John, Zhong, Ruidan, Gu, Genda, Wang, Ziqiang, Ding, Hong, & Gao, Hong-Jun. Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor. United States. https://doi.org/10.1038/s41467-021-21646-x
Fan, Peng, Yang, Fazhi, Qian, Guojian, Chen, Hui, Zhang, Yu-Yang, Li, Geng, Huang, Zihao, Xing, Yuqing, Kong, Lingyuan, Liu, Wenyao, Jiang, Kun, Shen, Chengmin, Du, Shixuan, Schneeloch, John, Zhong, Ruidan, Gu, Genda, Wang, Ziqiang, Ding, Hong, and Gao, Hong-Jun. Mon . "Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor". United States. https://doi.org/10.1038/s41467-021-21646-x. https://www.osti.gov/servlets/purl/1781513.
@article{osti_1781513,
title = {Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor},
author = {Fan, Peng and Yang, Fazhi and Qian, Guojian and Chen, Hui and Zhang, Yu-Yang and Li, Geng and Huang, Zihao and Xing, Yuqing and Kong, Lingyuan and Liu, Wenyao and Jiang, Kun and Shen, Chengmin and Du, Shixuan and Schneeloch, John and Zhong, Ruidan and Gu, Genda and Wang, Ziqiang and Ding, Hong and Gao, Hong-Jun},
abstractNote = {Braiding Majorana zero modes is essential for fault-tolerant topological quantum computing. Iron-based superconductors with nontrivial band topology have recently emerged as a surprisingly promising platform for creating distinct Majorana zero modes in magnetic vortices in a single material and at relatively high temperatures. The magnetic field-induced Abrikosov vortex lattice makes it difficult to braid a set of Majorana zero modes or to study the coupling of a Majorana doublet due to overlapping wave functions. Here we report the observation of the proposed quantum anomalous vortex with integer quantized vortex core states and the Majorana zero mode induced by magnetic Fe adatoms deposited on the surface. We observe its hybridization with a nearby field-induced Majorana vortex in iron-based superconductor FeTe0.55Se0.45. We also observe vortex-free Yu-Shiba-Rusinov bound states at the Fe adatoms with a weaker coupling to the substrate, and discover a reversible transition between Yu-Shiba-Rusinov states and Majorana zero mode by manipulating the exchange coupling strength. The dual origin of the Majorana zero modes, from magnetic adatoms and external magnetic field, provides a new single-material platform for studying their interactions and braiding in superconductors bearing topological band structures.},
doi = {10.1038/s41467-021-21646-x},
journal = {Nature Communications},
number = 1,
volume = 12,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 2021},
month = {Mon Mar 01 00:00:00 EST 2021}
}

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