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.
Cooper, Cognitive dissonance: Where we’ve been and where we’re going, International Review of Social Psy- chology32, 7 (2019)
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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.