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Activity leads to topological phase transition in 2D populations of heterogeneous oscillators

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Populations of heterogeneous, noisy oscillators on a two-dimensional lattice display short-range order. Here, we show that if the oscillators are allowed to actively move in space, the system undergoes instead a Berezenskii-Kosterlitz-Thouless transition and exhibits quasi-long-range order. This fundamental result connects two paradigmatic models—the XY and Kuramoto models—and provides insight into the emergence of order in active systems.

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Physical Review Letters, 2025, vol. 134, p. 1-6

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Articles publicats en revistes (Física de la Matèria Condensada)

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Activity leads to topological phase transition in 2D populations of heterogeneous oscillators