Nonlinear cellular automata rules produce frustrated spin models whose quantum versions exhibit order-by-disorder and first-order phase transitions to paramagnets.
More precisely, a classi- cal ground state spin term on the east boundary will get updated according to the given CA rule, say Rule 54
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Spin models from nonlinear cellular automata
Nonlinear cellular automata rules produce frustrated spin models whose quantum versions exhibit order-by-disorder and first-order phase transitions to paramagnets.