Stripe Charge Order and Its Interaction with Majorana Bound States in 2M-WS Topological Superconductors

Overview

Journal Natl Sci Rev

Date 2025 Jan 21

PMID 39834562

Authors

Xuemin Fan

Xiao-Qi Sun

Penghao Zhu

Yuqiang Fang

Yongkang Ju

Yonghao Yuan

Jingming Yan

Fuqiang Huang

Taylor L Hughes

Peizhe Tang

Qi-Kun Xue

Wei Li

Affiliations

Soon will be listed here.

Abstract

To achieve logic operations via Majorana braiding, positional control of the Majorana bound states (MBSs) must be established. Here we report the observation of a striped surface charge order coexisting with superconductivity and its interaction with the MBS in the topological superconductor 2M-WS, using low-temperature scanning tunneling microscopy. By applying an out-of-plane magnetic field, we observe that MBSs are absent in vortices in the region with stripe order. This is in contrast to adjacent underlaying layers without charge order, where vortex-bound MBSs are observed. Via theoretical simulations, we show that the surface stripe order does not destroy the bulk topology, but it can effectively modify the spatial distribution of MBSs, i.e. it pushes them downward, away from the 2M-WS surface. Our findings demonstrate that the interplay of charge order and topological superconductivity can potentially be used to tune the positions of MBSs, and to explore new states of matter.

References

Zhang P, Yaji K, Hashimoto T, Ota Y, Kondo T, Okazaki K . Observation of topological superconductivity on the surface of an iron-based superconductor. Science. 2018; 360(6385):182-186. DOI: 10.1126/science.aan4596. View

Kezilebieke S, Huda M, Vano V, Aapro M, Ganguli S, Silveira O . Topological superconductivity in a van der Waals heterostructure. Nature. 2020; 588(7838):424-428. DOI: 10.1038/s41586-020-2989-y. View

Wang D, Kong L, Fan P, Chen H, Zhu S, Liu W . Evidence for Majorana bound states in an iron-based superconductor. Science. 2018; 362(6412):333-335. DOI: 10.1126/science.aao1797. View

Xu J, Wang M, Liu Z, Ge J, Yang X, Liu C . Experimental detection of a Majorana mode in the core of a magnetic vortex inside a topological insulator-superconductor Bi(2)Te(3)/NbSe(2) heterostructure. Phys Rev Lett. 2015; 114(1):017001. DOI: 10.1103/PhysRevLett.114.017001. View

Lian C, Si C, Duan W . Anisotropic Full-Gap Superconductivity in 2M-WS Topological Metal with Intrinsic Proximity Effect. Nano Lett. 2020; 21(1):709-715. DOI: 10.1021/acs.nanolett.0c04357. View

Hu L, Wu X, Liu C, Zhang R . Competing Vortex Topologies in Iron-Based Superconductors. Phys Rev Lett. 2023; 129(27):277001. DOI: 10.1103/PhysRevLett.129.277001. View

Ding S, Chen C, Cao Z, Wang D, Pan Y, Tao R . Observation of robust zero-energy state and enhanced superconducting gap in a trilayer heterostructure of MnTe/BiTe/Fe(Te, Se). Sci Adv. 2022; 8(37):eabq4578. PMC: 9473575. DOI: 10.1126/sciadv.abq4578. View

Li Y, Zheng H, Fang Y, Zhang D, Chen Y, Chen C . Observation of topological superconductivity in a stoichiometric transition metal dichalcogenide 2M-WS. Nat Commun. 2021; 12(1):2874. PMC: 8129086. DOI: 10.1038/s41467-021-23076-1. View

Xu G, Lian B, Tang P, Qi X, Zhang S . Topological Superconductivity on the Surface of Fe-Based Superconductors. Phys Rev Lett. 2016; 117(4):047001. DOI: 10.1103/PhysRevLett.117.047001. View

10.

Mourik V, Zuo K, Frolov S, Plissard S, Bakkers E, Kouwenhoven L . Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices. Science. 2012; 336(6084):1003-7. DOI: 10.1126/science.1222360. View

11.

Hosur P, Ghaemi P, Mong R, Vishwanath A . Majorana modes at the ends of superconductor vortices in doped topological insulators. Phys Rev Lett. 2011; 107(9):097001. DOI: 10.1103/PhysRevLett.107.097001. View

12.

Hoffman J, McElroy K, Lee D, Lang K, Eisaki H, Uchida S . Imaging quasiparticle interference in Bi2Sr2CaCu2O8+delta. Science. 2002; 297(5584):1148-51. DOI: 10.1126/science.1072640. View

13.

Nadj-Perge S, Drozdov I, Li J, Chen H, Jeon S, Seo J . Topological matter. Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor. Science. 2014; 346(6209):602-7. DOI: 10.1126/science.1259327. View

14.

HESS , Robinson , Dynes , Valles Jr , Waszczak . Scanning-tunneling-microscope observation of the Abrikosov flux lattice and the density of states near and inside a fluxoid. Phys Rev Lett. 1989; 62(2):214-216. DOI: 10.1103/PhysRevLett.62.214. View

15.

Yuan Y, Fan X, Wang X, He K, Zhang Y, Xue Q . Incommensurate smectic phase in close proximity to the high-T superconductor FeSe/SrTiO. Nat Commun. 2021; 12(1):2196. PMC: 8044195. DOI: 10.1038/s41467-021-22516-2. View

16.

Nishio T, An T, Nomura A, Miyachi K, Eguchi T, Sakata H . Superconducting Pb island nanostructures studied by scanning tunneling microscopy and spectroscopy. Phys Rev Lett. 2008; 101(16):167001. DOI: 10.1103/PhysRevLett.101.167001. View

17.

Soumyanarayanan A, Yee M, He Y, van Wezel J, Rahn D, Rossnagel K . Quantum phase transition from triangular to stripe charge order in NbSe2. Proc Natl Acad Sci U S A. 2013; 110(5):1623-7. PMC: 3562841. DOI: 10.1073/pnas.1211387110. View

18.

Li M, Li G, Cao L, Zhou X, Wang X, Jin C . Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs. Nature. 2022; 606(7916):890-895. DOI: 10.1038/s41586-022-04744-8. View

19.

Shore , Huang , Dorsey , Sethna . Density of states in a vortex core and the zero-bias tunneling peak. Phys Rev Lett. 1989; 62(26):3089-3092. DOI: 10.1103/PhysRevLett.62.3089. View

20.

Sun H, Zhang K, Hu L, Li C, Wang G, Ma H . Majorana Zero Mode Detected with Spin Selective Andreev Reflection in the Vortex of a Topological Superconductor. Phys Rev Lett. 2016; 116(25):257003. DOI: 10.1103/PhysRevLett.116.257003. View