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We show that the improper ferroelectric phase transition in the multiferroichexagonal manganites displays the same symmetry-breaking characteristics asthose proposed in early-universe theories. We present an analysis of theKibble-Zurek theory of topological defect formation applied to the hexagonalmanganites, discuss the conditions determining the range of cooling rates inwhich Kibble-Zurek behavior is expected, and show that recent literature dataare consistent with our predictions. We explore experimentally for the firsttime to our knowledge the cross-over out of the Kibble-Zurek regime and find asurprising "anti-Kibble-Zurek" behavior.

From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites