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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/228508

Non-Reciprocal interactions reshape topological defect annihilation

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We show how nonreciprocal ferromagnetic interactions between neighboring planar spins in two dimensions, affect the behavior of topological defects. Nonreciprocity is introduced by weighting the coupling strength of the two-dimensional XY model by an anisotropic kernel. As a consequence, in addition to the topological charge, the actual shape of the defects becomes crucial to faithfully describe their dynamics. Nonreciprocal coupling twists the spin field, selecting specific defect shapes, dramatically altering the pair annihilation process. Defect annihilation can either be enhanced or hindered, depending on the shape of the defects concerned and the degree of nonreciprocity in the system. We introduce a continuous description—for which the phenomenological coefficients can be explicitly written in terms of the microscopic ones—that captures the behavior of the lattice model.

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ROUZAIRE, Ylann, et al. Non-Reciprocal interactions reshape topological defect annihilation. Physical Review Letters. 2025. Vol. 134, num. 1-6. ISSN 0031-9007. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/228508

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