Building of topological quantum magnets from atomic spins on surfaces

Building of topological quantum magnets from atomic spins on surfaces


  • Narang, P., Garcia, C. A. C. & Felser, C. The topology of digital band buildings. Nat. Mater. 20, 293–300 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Tokura, Y., Yasuda, Ok. & Tsukazaki, A. Magnetic topological insulators. Nat. Rev. Phys. 1, 126–143 (2019).

    Article 

    Google Scholar
     

  • Kiczynski, M. et al. Engineering topological states in atom-based semiconductor quantum dots. Nature 606, 694–699 (2022).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • de Léséleuc, S. et al. Statement of a symmetry-protected topological section of interacting bosons with Rydberg atoms. Science 365, 775–780 (2019).

    Article 
    PubMed 

    Google Scholar
     

  • Sompet, P. et al. Realizing the symmetry-protected Haldane section in Fermi–Hubbard ladders. Nature 606, 484–488 (2022).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Drost, R., Ojanen, T., Harju, A. & Liljeroth, P. Topological states in engineered atomic lattices. Nat. Phys. 13, 668–671 (2017).

    Article 
    CAS 

    Google Scholar
     

  • Mishra, S. et al. Statement of fractional edge excitations in nanographene spin chains. Nature 598, 287–292 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Kempkes, S. N. et al. Strong zero-energy modes in an digital higher-order topological insulator. Nat. Mater. 18, 1292–1297 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Meier, E. J., An, F. A. & Gadway, B. Statement of the topological soliton state within the Su–Schrieffer–Heeger mannequin. Nat. Commun. 7, 13986 (2016).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • St-Jean, P. et al. Lasing in topological edge states of a one-dimensional lattice. Nat. Photon. 11, 651–656 (2017).

    Article 
    CAS 

    Google Scholar
     

  • Rizzo, D. J. et al. Topological band engineering of graphene nanoribbons. Nature 560, 204–208 (2018).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Gröning, O. et al. Engineering of sturdy topological quantum phases in graphene nanoribbons. Nature 560, 209–213 (2018).

    Article 
    PubMed 

    Google Scholar
     

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

    Article 
    CAS 

    Google Scholar
     

  • Khajetoorians, A. A., Wegner, D., Otte, A. F. & Swart, I. Creating designer quantum states of matter atom-by-atom. Nat. Rev. Phys. 1, 703–715 (2019).

    Article 

    Google Scholar
     

  • Choi, D.-J. et al. Colloquium: atomic spin chains on surfaces. Rev. Mod. Phys. 91, 041001 (2019).

    Article 
    CAS 

    Google Scholar
     

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

    Article 
    CAS 
    PubMed 

    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 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Soldini, M. O. et al. Two-dimensional Shiba lattices as a attainable platform for crystalline topological superconductivity. Nat. Phys. 19, 1848–1854 (2023).

    Article 
    CAS 

    Google Scholar
     

  • Yang, Ok. et al. Probing resonating valence bond states in synthetic quantum magnets. Nat. Commun. 12, 993 (2021).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Zhao, Y. et al. Quantum nanomagnets in on-surface metal-free porphyrin chains. Nat. Chem. 15, 53–60 (2023).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Zhao, C. et al. Tunable topological phases in nanographene-based spin-1/2 alternating-exchange Heisenberg chains. Preprint at https://arxiv.org/abs/2402.13590v1 (2024).

  • Yang, Ok. et al. Engineering the eigenstates of coupled spin-1/2 atoms on a floor. Phys. Rev. Lett. 119, 227206 (2017).

    Article 
    PubMed 

    Google Scholar
     

  • Bae, Y. et al. Enhanced quantum coherence in trade coupled spins through singlet–triplet transitions. Sci. Adv. 4, eaau4159 (2018).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Hida, Ok. Crossover between the Haldane-gap section and the dimer section within the spin-1/2 alternating Heisenberg chain. Phys. Rev. B 45, 2207–2212 (1992).

    Article 
    CAS 

    Google Scholar
     

  • Yang, Ok. et al. Tuning the trade bias on a single atom from 1 mT to 10 T. Phys. Rev. Lett. 122, 227203 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Haghshenas, R., Langari, A. & Rezakhani, A. T. Symmetry fractionalization: symmetry-protected topological phases of the bond-alternating spin-1/2 Heisenberg chain. J. Phys. Condens. Matter 26, 456001 (2014).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Luo, Q., Zhao, J., Wang, X. & Kee, H.-Y. Unveiling the section diagram of a bond-alternating spin-1/2 Ok–Γ chain. Phys. Rev. B 103, 144423 (2021).

    Article 
    CAS 

    Google Scholar
     

  • Lado, J. L., Ortiz, R. & Fernández-Rossier, J. in Graphene Nanoribbons (eds. Brey, L., Seneor, P. & Tejeda, A.) Ch. 4 (IOP Publishing, 2019).

  • Willke, P. et al. Magnetic resonance imaging of single atoms on a floor. Nat. Phys. 15, 1005–1010 (2019).

    Article 
    CAS 

    Google Scholar
     

  • Benalcazar, W. A., Bernevig, B. A. & Hughes, T. L. Electrical multipole moments, topological multipole second pumping, and chiral hinge states in crystalline insulators. Phys. Rev. B 96, 245115 (2017).

    Article 

    Google Scholar
     

  • Willke, P. et al. Probing quantum coherence in single-atom electron spin resonance. Sci. Adv. 4, eaaq1543 (2018).

    Article 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Hatsugai, Y. Quantized Berry phases for an area characterization of spin liquids in pissed off spin techniques. J. Phys. Condens. Matter 19, 145209 (2007).

    Article 

    Google Scholar
     

  • Pollmann, F., Turner, A. M., Berg, E. & Oshikawa, M. Entanglement spectrum of a topological section in a single dimension. Phys. Rev. B 81, 064439 (2010).

    Article 

    Google Scholar
     

  • Noh, J. et al. Topological safety of photonic mid-gap defect modes. Nat. Photon. 12, 408–415 (2018).

    Article 
    CAS 

    Google Scholar
     

  • Schindler, F. et al. Greater-order topology in bismuth. Nat. Phys. 14, 918–924 (2018).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Yang, Ok. et al. Coherent spin manipulation of particular person atoms on a floor. Science 366, 509–512 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Wang, Y. et al. An atomic-scale multi-qubit platform. Science 382, 87–92 (2023).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Broholm, C. et al. Quantum spin liquids. Science 367, eaay0668 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Baumann, S. et al. Electron paramagnetic resonance of particular person atoms on a floor. Science 350, 417–420 (2015).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

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