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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Statistical Physics

DY 43.21: Poster

Mittwoch, 11. März 2026, 15:00–18:00, P5

Sampling of ground states for the bimodal random-field Ising model — •Jana Lukin, Tony Albers, and Martin Weigel — Institut für Physik, TU Chemnitz, 09107 Chemnitz, Germany

The Gaussian random-field Ising model (RFIM) is well understood, largely because its ground state is non-degenerate and can therefore be computed efficiently using polynomial-time optimization methods. In contrast, the bimodal RFIM exhibits degenerate ground states, which has hindered precise numerical investigations of its critical behavior. Here, we introduce a perturbation to lift this degeneracy. This approach enables the application of a max-flow algorithm to obtain exact ground states and thereby allows a more accurate characterization of the phase transition in the bimodal RFIM.

Keywords: Ising model; bimodal random-field Ising model; ground-state computation; optimization algorithm; max-flow / minimum-cut algorithm