- Open Access
Magnetism of Topological Boundary States Induced by Boron Substitution in Graphene Nanoribbons
Phys. Rev. Lett. 125, 146801 – Published 28 September, 2020
DOI: https://doi.org/10.1103/PhysRevLett.125.146801
Abstract
Graphene nanoribbons (GNRs), low-dimensional platforms for carbon-based electronics, show the promising perspective to also incorporate spin polarization in their conjugated electron system. However, magnetism in GNRs is generally associated with localized states around zigzag edges, difficult to fabricate and with high reactivity. Here we demonstrate that magnetism can also be induced away from physical GNR zigzag edges through atomically precise engineering topological defects in its interior. A pair of substitutional boron atoms inserted in the carbon backbone breaks the conjugation of their topological bands and builds two spin-polarized boundary states around them. The spin state was detected in electrical transport measurements through boron-substituted GNRs suspended between the tip and the sample of a scanning tunneling microscope. First-principle simulations find that boron pairs induce a spin 1, which is modified by tuning the spacing between pairs. Our results demonstrate a route to embed spin chains in GNRs, turning them into basic elements of spintronic devices.
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References (45)
- D. D. Awschalom, L. C. Bassett, A. S. Dzurak, E. L. Hu, and J. R. Petta, Science 339, 1174 (2013).
- M. Slota, A. Keerthi, W. K. Myers, E. Tretyakov, M. Baumgarten, A. Ardavan, H. Sadeghi, C. J. Lambert, A. Narita, K. Müllen, and L. Bogani, Nature (London) 557, 691 (2018).
- F. Lombardi, A. Lodi, J. Ma, J. Liu, M. Slota, A. Narita, W. K. Myers, K. Müllen, X. Feng, and L. Bogani, Science 366, 1107 (2019).
- A. L. Sharpe, E. J. Fox, A. W. Barnard, J. Finney, K. Watanabe, T. Taniguchi, M. A. Kastner, and D. Goldhaber-Gordon, Science 365, 605 (2019).
- J. Cai, P. Ruffieux, R. Jaafar, M. Bieri, T. Braun, S. Blankenburg, M. Muoth, A. P. Seitsonen, M. Saleh, X. Feng, K. Mullen, and R. Fasel, Nature (London) 466, 470 (2010).
- M. Corso, E. Carbonell-Sanromà, and D. G. de Oteyza, in On-Surface Synthesis II (Springer International Publishing, Cham, 2018), pp. 113–152.
- J. Li, S. Sanz, M. Corso, D. J. Choi, D. Peña, T. Frederiksen, and J. I. Pascual, Nat. Commun. 10, 200 (2019).
- S. Mishra, D. Beyer, K. Eimre, S. Kezilebieke, R. Berger, O. Gröning, C. A. Pignedoli, K. Müllen, P. Liljeroth, P. Ruffieux, X. Feng, and R. Fasel, Nat. Nanotechnol. 15, 22 (2020).
- J. Li, S. Sanz, J. Castro-Esteban, M. Vilas-Varela, N. Friedrich, T. Frederiksen, D. Peña, and J. I. Pascual, Phys. Rev. Lett. 124, 177201 (2020).
- J. Lawrence, P. Brandimarte, A. Berdonces-Layunta, M. S. G. Mohammed, A. Grewal, C. C. Leon, D. Sánchez-Portal, and D. G. de Oteyza, ACS Nano 14, 4499 (2020).
- X. Wang, G. Sun, P. Routh, D. H. Kim, W. Huang, and P. Chen, Chem. Soc. Rev. 43, 7067 (2014).
- P. Błoński, J. Tuček, Z. Sofer, V. Mazánek, M. Petr, M. Pumera, M. Otyepka, and R. Zboil, J. Am. Chem. Soc. 139, 3171 (2017).
- E. H. Lieb, Phys. Rev. Lett. 62, 1201 (1989).
- J. J. Palacios, J. Fernández-Rossier, and L. Brey, Phys. Rev. B 77, 195428 (2008).
- H. Gonzalez-Herrero, J. M. Gomez-Rodriguez, P. Mallet, M. Moaied, J. J. Palacios, C. Salgado, M. M. Ugeda, J.-Y. Veuillen, F. Yndurain, and I. Brihuega, Science 352, 437 (2016).
- See Supplemental Material http://link.aps.org/supplemental/10.1103/PhysRevLett.125.146801 for experimental and theoretical methods, and complementary measurements and simulations, which includes Refs. [17–27].
- I. Horcas, R. Fernández, J. Gomez-Rodriguez, J. Colchero, J. Gómez-Herrero, and A. Baro, Rev. Sci. Instrum. 78, 013705 (2007).
- J. D. Hunter, Comput. Sci. Eng. 9, 90 (2007).
- P. Kovesi, arXiv:1509.03700.
- E. Artacho, D. Sánchez-Portal, P. Ordejón, A. García, and J. M. Soler, Phys. Status Solidi B 215, 809 (1999).
- J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal, J. Phys. Condens. Matter 14, 2745 (2002).
- N. Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991).
- S. García-Gil, A. García, N. Lorente, and P. Ordejón, Phys. Rev. B 79, 075441 (2009).
- M. Kolmer, P. Brandimarte, J. Lis, R. Zuzak, S. Godlewski, H. Kawai, A. Garcia-Lekue, N. Lorente, T. Frederiksen, C. Joachim, D. Sánchez-Portal, and M. Szymonski, Nat. Commun. 10, 1573 (2019).
- M. Dion, H. Rydberg, E. Schröder, D. C. Langreth, and B. I. Lundqvist, Phys. Rev. Lett. 92, 246401 (2004).
- J. Klimeš, D. R. Bowler, and A. Michaelides, J. Phys. Condens. Matter 22, 022201 (2010).
- N. Gonzalez-Lakunza, I. Fernández-Torrente, K. J. Franke, N. Lorente, A. Arnau, and J. I. Pascual, Phys. Rev. Lett. 100, 156805 (2008).
- M. Ijäs, M. Ervasti, A. Uppstu, P. Liljeroth, J. Van Der Lit, I. Swart, and A. Harju, Phys. Rev. B 88, 075429 (2013).
- E. Carbonell-Sanromà, P. Brandimarte, R. Balog, M. Corso, S. Kawai, A. Garcia-Lekue, S. Saito, S. Yamaguchi, E. Meyer, D. Sánchez-Portal, and J. I. Pascual, Nano Lett. 17, 50 (2017).
- E. Carbonell-Sanromà, A. Garcia-Lekue, M. Corso, G. Vasseur, P. Brandimarte, J. Lobo-Checa, D. G. De Oteyza, J. Li, S. Kawai, S. Saito, S. Yamaguchi, J. E. Ortega, D. Sánchez-Portal, and J. I. Pascual, J. Phys. Chem. C 122, 16092 (2018).
- T. Cao, F. Zhao, and S. G. Louie, Phys. Rev. Lett. 119, 076401 (2017).
- D. J. Rizzo, G. Veber, T. Cao, C. Bronner, T. Chen, F. Zhao, H. Rodriguez, S. G. Louie, M. F. Crommie, and F. R. Fischer, Nature (London) 560, 204 (2018).
- O. Gröning, S. Wang, X. Yao, C. A. Pignedoli, G. Borin Barin, C. Daniels, A. Cupo, V. Meunier, X. Feng, A. Narita, K. Müllen, P. Ruffieux, and R. Fasel, Nature (London) 560, 209 (2018).
- S. Kawai, S. Saito, S. Osumi, S. Yamaguchi, A. S. Foster, P. Spijker, and E. Meyer, Nat. Commun. 6, 8098 (2015).
- R. R. Cloke, T. Marangoni, G. D. Nguyen, T. Joshi, D. J. Rizzo, C. Bronner, T. Cao, S. G. Louie, M. F. Crommie, and F. R. Fischer, J. Am. Chem. Soc. 137, 8872 (2015).
- Z. Pedramrazi, C. Chen, F. Zhao, T. Cao, G. D. Nguyen, A. A. Omrani, H.-z. Tsai, R. R. Cloke, T. Marangoni, D. J. Rizzo, T. Joshi, C. Bronner, W. Choi, F. R. Fischer, S. G. Louie, and M. F. Crommie, Nano Lett. 18, 3550 (2018).
- B. V. Senkovskiy et al., ACS Nano 12, 7571 (2018).
- G. Kichin, C. Weiss, C. Wagner, F. S. Tautz, and R. Temirov, J. Am. Chem. Soc. 133, 16847 (2011).
- M. Koch, F. Ample, C. Joachim, and L. Grill, Nat. Nanotechnol. 7, 713 (2012).
- J. Kondo, Prog. Theor. Phys. 32, 37 (1964).
- R. Temirov, A. Lassise, F. B. Anders, and F. S. Tautz, Nanotechnology 19, 065401 (2008).
- M. Ternes, A. J. Heinrich, and W.-D. Schneider, J. Phys. Condens. Matter 21, 053001 (2009).
- M. Ternes, New J. Phys. 17, 063016 (2015).
- H. O. Frota, Phys. Rev. B 45, 1096 (1992).
- W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979).