Chladni states in Ising Spin Lattices

Giulio Iannelli; Pablo Villegas

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arXiv · 2507.05961

Chladni states in Ising Spin Lattices

Giulio Iannelli·Pablo Villegas

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Abstract

Low-temperature spin dynamics can become trapped in long-lived patterns shaped by the geometry of the interaction network. Here we introduce Chladni states: spin configurations obtained by binarizing the eigenmodes of the interaction Laplacian. These graph-spectral patterns organize the metastable configurations reached by Ising systems under non-ergodic relaxation. The resulting Topological Mode Decomposition provides a compact way to monitor and reconstruct frozen spin configurations in ferromagnets, frustrated antiferromagnets, and spin glasses.

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Giulio Iannelli, Pablo Villegas. 2025-07-08. Chladni states in Ising Spin Lattices. https://arxiv.org/abs/2507.05961

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