In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.
Fendley, Parafermionic edge zero modes in zn-invariant spin chains, Journal of Statistical Mechanics: Theory and Experiment 2012, P11020 (2012)
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Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
In the Z3 chiral clock model, DQPTs emerge only for special angles in the chiral phase, with an analytical expression derived for the zeros of the dynamical partition function.