SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 49: Critical Phenomena and Phase Transitions

DY 49.5: Vortrag

Donnerstag, 30. März 2023, 16:00–16:15, ZEU 160

Determination of the nearest-neighbor interaction strength in VO2 via fractal dimension analysis — •Jacob Holder, Daniel Kazenwadel, Peter Nielaba, and Peter Baum — Universität Konstanz, Konstanz, Deutschland

The Ising model is one of the simplest and well-established models to simulate phase transformations in complex materials. However, its most central constant, the interaction strength J between two nearest neighbors, is not directly related to any macroscopic material property and is therefore hard to obtain. Here we report how to obtain this basic constant by a fractal dimension analysis of measured domain structures. In the example of VO2, a strongly correlated material with first-order metal-to-insulator transition close to room temperature, we obtain an interaction strength of 11 meV. In a two dimensional simplification, we find an effective value of 17 meV due to the reduced number of nearest neighbors. These results link the fundamental constants in the Ising model to measured quantities of bulk materials.

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