In the structural-balance limit the signs of Heider relations are exactly the products of nearest-neighbor Ising spins, so the balanced Heider model with external field is equivalent to the field-free Ising model.
Abbott, An overview of relational sociology, inThe Self, Relational Sociology, and Morality in Practice (Springer International Publishing, Cham, 2020) pp
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Relationship between Heider links and Ising spins
In the structural-balance limit the signs of Heider relations are exactly the products of nearest-neighbor Ising spins, so the balanced Heider model with external field is equivalent to the field-free Ising model.