English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article, a theoretical description of the "ideal glass transition" isapproached upon the adoption of a quaternion orientational order parameter.Unlike first-order phase transitions of liquids into crystalline solid states,glass transitions are entirely different phenomena that are non-equilibrium andthat are highly dependent on the applied cooling rate. Herein, the "ideal glasstransition" that occurs at the finite Kauzmann temperature at which point theconfigurational entropy of an undercooled liquid matches that of itscrystalline counterpart is identified as a first-order quantum critical point.We suggest that this quantum critical point belongs to quaternion orderedsystems that exist in four- and three-dimensions. The Kauzmann quantum criticalpoint is considered to be a higher-dimensional analogue to thesuperfluid-to-Mott insulator quantum phase transition, in two- andone-dimensional complex ordered systems. Such quantum critical points aredriven by tuning a non-thermal frustration parameter, and result due tocharacteristic softening of the 'Higgs' type mode that corresponds to amplitudefluctuations of the order parameter. The first-order nature of the finitetemperature Kauzmann quantum critical point is seen as a consequence of thediscrete change of the topology of the ground state manifold that applies tocrystalline and non-crystalline solid states.

Importance of the 'Higgs' Amplitude Mode in Understanding the "Ideal  Glass Transition" and the Kauzmann Entropy Paradox at the Four-Dimensional  Crystal/Glass Quantum Critical Point