Kibble-Zurek defect scaling does not generally correspond to quantum criticality in representative quasi-1D Fermi models.
Sachdev, Quantum phase transitions, Encyclopedia of Mathematical Physics: Five-Volume Set,(3) , 289 (2004)
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Separation of the Kibble-Zurek Mechanism from Quantum Criticality
Kibble-Zurek defect scaling does not generally correspond to quantum criticality in representative quasi-1D Fermi models.