Nonlinear cellular automata rules produce frustrated spin models whose quantum versions exhibit order-by-disorder and first-order phase transitions to paramagnets.
Our goal in these figures is to show signatures of the formation of an avoided crossing, a characteristic of first-order quantum phase transi- tions [84]
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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.