Martin, I. & Morpurgo, A. F. Majorana fermions in superconducting helical magnets. Phys. Rev. B 85, 144505 (2012).

Article 
ADS 

Google Scholar
 

Nadj-Perge, S., Drozdov, I. K., Bernevig, B. A. & Yazdani, A. Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor. Phys. Rev. B 88, 020407 (2013).

Article 
ADS 

Google Scholar
 

Braunecker, B. & Simon, P. Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase. Phys. Rev. Lett. 111, 147202 (2013).

Article 
ADS 

Google Scholar
 

Pientka, F., Glazman, L. I. & von Oppen, F. Topological superconducting phase in helical Shiba chains. Phys. Rev. B 88, 155420 (2013).

Article 
ADS 

Google Scholar
 

Klinovaja, J., Stano, P., Yazdani, A. & Loss, D. Topological superconductivity and Majorana fermions in RKKY systems. Phys. Rev. Lett. 111, 186805 (2013).

Article 
ADS 

Google Scholar
 

Kim, Y., Cheng, M., Bauer, B., Lutchyn, R. M. & Das Sarma, S. Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states. Phys. Rev. B 90, 060401(R) (2014).

Article 
ADS 

Google Scholar
 

Lo Conte, R., Wiebe, J., Rachel, S., Morr, D. K. & Wiesendanger, R. Magnet-superconductor hybrid quantum systems: a materials platform for topological superconductivity. Riv. Nuovo Cimento 47, 453–545 (2024).

Article 

Google Scholar
 

Feldman, B. E. et al. High-resolution studies of the Majorana atomic chain platform. Nat. Phys. 13, 286–291 (2017).

Article 

Google Scholar
 

Nadj-Perge, S. et al. Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor. Science 346, 602–607 (2014).

Article 
ADS 

Google Scholar
 

Jeon, S. et al. Distinguishing a Majorana zero mode using spin-resolved measurements. Science 358, 772–776 (2017).

Article 
ADS 

Google Scholar
 

Ahn, S., Pan, H., Woods, B., Stanescu, T. D. & Das Sarma, S. Estimating disorder and its adverse effects in semiconductor Majorana nanowires. Phys. Rev. Mater. 5, 124602 (2021).

Article 

Google Scholar
 

Woods, B. D., Das Sarma, S. & Stanescu, T. D. Charge-impurity effects in hybrid Majorana nanowires. Phys. Rev. Appl. 16, 054053 (2021).

Article 
ADS 

Google Scholar
 

Kim, H. et al. Toward tailoring Majorana bound states in artificially constructed magnetic atom chains on elemental superconductors. Sci. Adv. 4, eaar5251 (2018).

Article 
ADS 

Google Scholar
 

Rachel, S. & Wiesendanger, R. Majorana quasiparticles in atomic spin chains on superconductors. Phys. Rep. 1099, 1–28 (2025).

Article 

Google Scholar
 

Küster, F. et al. Non-Majorana modes in diluted spin chains proximitized to a superconductor. Proc. Natl Acad. Sci. USA 119, e2210589119 (2022).

Article 

Google Scholar
 

Liebhaber, E. et al. Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor. Nat. Commun. 13, 2160 (2022).

Article 
ADS 

Google Scholar
 

Mier, C. et al. Atomic manipulation of in-gap states in the β-Bi2Pd superconductor. Phys. Rev. B 104, 045406 (2021).

Article 
ADS 

Google Scholar
 

Schneider, L. et al. Topological Shiba bands in artificial spin chains on superconductors. Nat. Phys. 17, 943–948 (2021).

Article 

Google Scholar
 

Schneider, L. et al. Precursors of Majorana modes and their length-dependent energy oscillations probed at both ends of atomic Shiba chains. Nat. Nanotechnol. 17, 384–389 (2022).

Article 
ADS 

Google Scholar
 

Das Sarma, S., Sau, J. D. & Stanescu, T. D. Splitting of the zero-bias conductance peak as smoking gun evidence for the existence of the Majorana mode in a superconductor-semiconductor nanowire. Phys. Rev. B 86, 220506 (2012).

Article 

Google Scholar
 

Stanescu, T. D., Lutchyn, R. M. & Das Sarma, S. Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing. Phys. Rev. B 87, 094518 (2013).

Article 
ADS 

Google Scholar
 

Ast, C. R. et al. Giant spin splitting through surface alloying. Phys. Rev. Lett. 98, 186807 (2007).

Article 
ADS 

Google Scholar
 

Bihlmayer, G., Blügel, S. & Chulkov, E. V. Enhanced Rashba spin-orbit splitting in Bi/Ag(111) and Pb/Ag(111) surface alloys from first principles. Phys. Rev. B 75, 195414 (2007).

Article 
ADS 

Google Scholar
 

El-Kareh, L., Sessi, P., Bathon, T. & Bode, M. Quantum interference mapping of Rashba-split Bloch states in Bi/Ag(111). Phys. Rev. Lett. 110, 176803 (2013).

Article 
ADS 

Google Scholar
 

Awoga, O. A., Björnson, K. & Black-Schaffer, A. M. Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors. Phys. Rev. B 95, 184511 (2017).

Article 
ADS 

Google Scholar
 

Peeters, C., Hodge, T., Mascot, E. & Rachel, S. Effect of impurities and disorder on the braiding dynamics of Majorana zero modes. Phys. Rev. B 110, 214506 (2024).

Article 
ADS 

Google Scholar
 

Schneider, L. et al. Proximity superconductivity in atom-by-atom crafted quantum dots. Nature 621, 60–65 (2023).

Article 
ADS 

Google Scholar
 

Schneider, L. et al. Scanning tunneling spectroscopy study of proximity superconductivity in finite-size quantized surface states. Phys. Rev. B 110, L100505 (2024).

Article 
ADS 

Google Scholar
 

Peng, Y., Pientka, F., Glazman, L. I. & von Oppen, F. Strong localization of Majorana end states in chains of magnetic adatoms. Phys. Rev. Lett. 114, 106801 (2015).

Article 
ADS 

Google Scholar
 

Tomanic, T. et al. Local-strain mapping on Ag(111) islands on Nb(110). Appl. Phys. Lett. 101, 063111 (2012).

Article 
ADS 

Google Scholar
 

Schirone, S. et al. Spin-flip and element-sensitive electron scattering in the BiAg2 surface alloy. Phys. Rev. Lett. 114, 166801 (2015).

Article 
ADS 

Google Scholar
 

Ryu, S., Schnyder, A. P., Furusaki, A. & Ludwig, A. W. W. Topological insulators and superconductors: tenfold way and dimensional hierarchy. New J. Phys. 12, 065010 (2010).

Article 
ADS 

Google Scholar
 

Kitaev, A. Periodic table for topological insulators and superconductors. AIP Conf. Proc. 1134, 22–30 (2009).

Article 
ADS 

Google Scholar
 

Kitaev, A. Y. Fault-tolerant quantum computation by anyons. Ann. Phys. 303, 2–30 (2003).

Article 
ADS 
MathSciNet 

Google Scholar
 

Nayak, C., Simon, S. H., Stern, A., Freedman, M. & Das Sarma, S. Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083–1159 (2008).

Article 
ADS 
MathSciNet 

Google Scholar
 

Alicea, J., Oreg, Y., Refael, G., von Oppen, F. & Fisher, M. P. A. Non-Abelian statistics and topological quantum information processing in 1D wire networks. Nat. Phys. 7, 412–417 (2011).

Article 

Google Scholar
 

Schneider, L., Beck, P., Wiebe, J. & Wiesendanger, R. Atomic-scale spin-polarization maps using functionalized superconducting probes. Sci. Adv. 7, eabd7302 (2021).

Article 
ADS 

Google Scholar
 

Löptien, P., Zhou, L., Khajetoorians, A. A., Wiebe, J. & Wiesendanger, R. Superconductivity of lanthanum revisited: enhanced critical temperature in the clean limit. J. Phys. Condens. Matter 26, 425703 (2014).

Article 
ADS 

Google Scholar
 

Wiebe, J. et al. A 300 mK ultra-high vacuum scanning tunneling microscope for spin-resolved spectroscopy at high energy resolution. Rev. Sci. Instrum. 75, 4871–4879 (2004).

Article 
ADS 

Google Scholar