Kramers-Wannier Duality and Random-Bond Ising Model.

Published in: Entropy (Basel, Switzerland) (2024)

We present a new combinatorial approach to the Ising model incorporating arbitrary bond weights on planar graphs. In contrast to existing methodologies, the exact free energy is expressed as the determinant of a set of ordered and disordered operators defined on a planar graph and the corresponding dual graph, respectively, thereby explicitly demonstrating the Kramers-Wannier duality. The implications of our derived formula for the Random-Bond Ising Model are further elucidated.

Keyphrases

magnetic resonance
magnetic resonance imaging
convolutional neural network
density functional theory
transition metal
preterm birth
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