Ruffieux, P. et al. On-surface synthesis of graphene nanoribbons with zigzag edge topology. Nature 531, 489–492 (2016).
Google Scholar
Blackwell, R. E. et al. Spin splitting of dopant edge state in magnetic zigzag graphene nanoribbons. Nature 600, 647–652 (2021).
Google Scholar
Slota, M. et al. Magnetic edge states and coherent manipulation of graphene nanoribbons. Nature 557, 691–695 (2018).
Google Scholar
Lawrence, J. et al. Probing the magnetism of topological end states in 5-armchair graphene nanoribbons. ACS Nano 14, 4499–4508 (2020).
Google Scholar
Fujita, M., Wakabayashi, K., Nakada, K. & Kusakabe, K. Peculiar localized state at zigzag graphite edge. J. Phys. Soc. Jpn 65, 1920–1923 (1996).
Google Scholar
Yang, L., Park, C.-H., Son, Y.-W., Cohen, M. L. & Louie, S. G. Quasiparticle energies and band gaps in graphene nanoribbons. Phys. Rev. Lett. 99, 186801 (2007).
Google Scholar
de Oteyza, D. G. & Frederiksen, T. Carbon-based nanostructures as a versatile platform for tunable π-magnetism. J. Phys. Condens. Matter 34, 443001 (2022).
Google Scholar
Yazyev, O. V. & Katsnelson, M. Magnetic correlations at graphene edges: basis for novel spintronics devices. Phys. Rev. Lett. 100, 047209 (2008).
Google Scholar
Magda, G. Z. et al. Room-temperature magnetic order on zigzag edges of narrow graphene nanoribbons. Nature 514, 608–611 (2014).
Google Scholar
Son, Y.-W., Cohen, M. L. & Louie, S. G. Half-metallic graphene nanoribbons. Nature 444, 347–349 (2006).
Google Scholar
Haldane, F. Excitation spectrum of a generalised Heisenberg ferromagnetic spin chain with arbitrary spin. J. Phys. C 15, L1309 (1982).
Google Scholar
Trauzettel, B., Bulaev, D. V., Loss, D. & Burkard, G. Spin qubits in graphene quantum dots. Nat. Phys. 3, 192–196 (2007).
Google Scholar
Wang, H. et al. Graphene nanoribbons for quantum electronics. Nat. Rev. Phys. 3, 791–802 (2021).
Google Scholar
Lieb, E. H. Two theorems on the Hubbard model. Phys. Rev. Lett. 62, 1201 (1989).
Google Scholar
Cao, T., Zhao, F. & Louie, S. G. Topological phases in graphene nanoribbons: junction states, spin centers, and quantum spin chains. Phys. Rev. Lett. 119, 076401 (2017).
Google Scholar
Jiang, J. & Louie, S. G. Topology classification using chiral symmetry and spin correlations in graphene nanoribbons. Nano Lett. 21, 197–202 (2020).
Google Scholar
Hu, J., Zhou, S., Sun, Y., Fang, X. & Wu, L. Fabrication, properties and applications of Janus particles. Chem. Soc. Rev. 41, 4356–4378 (2012).
Google Scholar
Li, R., Cheng, Y. & Huang, W. Recent progress of Janus 2D transition metal chalcogenides: from theory to experiments. Small 14, 1802091 (2018).
Google Scholar
Zhang, L. et al. Janus graphene from asymmetric two-dimensional chemistry. Nat. Commun. 4, 1443 (2013).
Google Scholar
Lu, A.-Y. et al. Janus monolayers of transition metal dichalcogenides. Nat. Nanotechnol. 12, 744–749 (2017).
Google Scholar
Zhang, J. et al. Janus monolayer transition-metal dichalcogenides. ACS Nano 11, 8192–8198 (2017).
Google Scholar
Zhang, L. et al. Janus two-dimensional transition metal dichalcogenides. J. Appl. Phys. 131, 230902 (2022).
Sun, Q. et al. Coupled spin states in armchair graphene nanoribbons with asymmetric zigzag edge extensions. Nano Lett. 20, 6429–6436 (2020).
Google Scholar
Rizzo, D. J. et al. Inducing metallicity in graphene nanoribbons via zero-mode superlattices. Science 369, 1597–1603 (2020).
Google Scholar
Zhang, D.-B. & Wei, S.-H. Inhomogeneous strain-induced half-metallicity in bent zigzag graphene nanoribbons. npj Comput. Mater. 3, 32 (2017).
Google Scholar
Lee, Y.-L., Kim, S., Park, C., Ihm, J. & Son, Y.-W. Controlling half-metallicity of graphene nanoribbons by using a ferroelectric polymer. ACS Nano 4, 1345–1350 (2010).
Google Scholar
Kan, E.-j, Li, Z., Yang, J. & Hou, J. Half-metallicity in edge-modified zigzag graphene nanoribbons. J. Am. Chem. Soc. 130, 4224–4225 (2008).
Google Scholar
Adams, D. J. et al. Stable ferromagnetism and doping-induced half-metallicity in asymmetric graphene nanoribbons. Phys. Rev. B 85, 245405 (2012).
Google Scholar
Ovchinnikov, A. A. Multiplicity of the ground state of large alternant organic molecules with conjugated bonds: (do organic ferromagnetics exist?). Theor. Chim. Acta 47, 297–304 (1978).
Google Scholar
Ugeda, M. M., Brihuega, I., Guinea, F. & Gómez-Rodríguez, J. M. Missing atom as a source of carbon magnetism. Phys. Rev. Lett. 104, 096804 (2010).
Google Scholar
Palacios, J. J., Fernández-Rossier, J. & Brey, L. Vacancy-induced magnetism in graphene and graphene ribbons. Phys. Rev. B 77, 195428 (2008).
Google Scholar
Song, S. et al. On-surface synthesis of graphene nanostructures with π-magnetism. Chem. Soc. Rev. 50, 3238–3262 (2021).
Google Scholar
Sakaguchi, H., Song, S., Kojima, T. & Nakae, T. Homochiral polymerization-driven selective growth of graphene nanoribbons. Nat. Chem. 9, 57–63 (2017).
Google Scholar
Kojima, T. et al. Vectorial on‐surface synthesis of polar 2D polymer crystals. Adv. Mater. Interfaces 10, 2300214 (2023).
Google Scholar
Kojima, T. et al. Molecular-vapor-assisted low-temperature growth of graphene nanoribbons. J. Phys. Chem. C 127, 10541–10549 (2023).
Google Scholar
Piquero-Zulaica, I. et al. Deceptive orbital confinement at edges and pores of carbon-based 1D and 2D nanoarchitectures. Nat. Commun. 15, 1062 (2024).
Google Scholar
Li, J. et al. Uncovering the triplet ground state of triangular graphene nanoflakes engineered with atomic precision on a metal surface. Phys. Rev. Lett. 124, 177201 (2020).
Google Scholar
Li, J. et al. Topological phase transition in chiral graphene nanoribbons: from edge bands to end states. Nat. Commun. 12, 5538 (2021).
Google Scholar
Kinikar, A. et al. On‐surface synthesis of edge‐extended zigzag graphene nanoribbons. Adv. Mater. 35, 2306311 (2023).
Google Scholar
Neaton, J. B., Hybertsen, M. S. & Louie, S. G. Renormalization of molecular electronic levels at metal-molecule interfaces. Phys. Rev. Lett. 97, 216405 (2006).
Google Scholar
Li, J. et al. Single spin localization and manipulation in graphene open-shell nanostructures. Nat. Commun. 10, 200 (2019).
Google Scholar
Nguyen, G. D. et al. Atomically precise graphene nanoribbon heterojunctions from a single molecular precursor. Nat. Nanotechnol. 12, 1077–1082 (2017).
Google Scholar
Chen, Y.-C. et al. Molecular bandgap engineering of bottom-up synthesized graphene nanoribbon heterojunctions. Nat. Nanotechnol. 10, 156–160 (2015).
Google Scholar
Hybertsen, M. S. & Louie, S. G. Electron correlation in semiconductors and insulators: band gaps and quasiparticle energies. Phys. Rev. B 34, 5390 (1986).
Google Scholar
Giannozzi, P. et al. Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter 21, 395502 (2009).
Google Scholar
Giannozzi, P. et al. Advanced capabilities for materials modelling with Quantum ESPRESSO. J. Phys. Condens. Matter 29, 465901 (2017).
Google Scholar
Hamann, D. Erratum: Optimized norm-conserving vanderbilt pseudopotentials [Phys. Rev. B 88, 085117 (2013)]. Phys. Rev. B 95, 239906 (2017).
Google Scholar
Van Setten, M. J. et al. The PseudoDojo: training and grading a 85 element optimized norm-conserving pseudopotential table. Comput. Phys. Commun. 226, 39–54 (2018).
Google Scholar
Song, S. et al. Janus graphene nanoribbons with localized states on a single zigzag edge. Zenodo https://doi.org/10.5281/zenodo.13894455 (2024).