Bulletin of the American Physical Society
APS March Meeting 2021
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session S04: Topological Effects in Soft Matter
11:30 AM–2:30 PM,
Thursday, March 18, 2021
Sponsoring Units: DPOLY DSOFT DBIO DCOMP
Chair: Petro Maksymovych; Rajeev Kumar, Oak Ridge National Lab
Abstract: S04.00008 : Topological-Order Beyond 2D U(1) Systems: A Novel Perspective on Solidification and Curvature in Crystals and Glassy Solids
1:18 PM–1:54 PM
We suggest that the existence of glassy solids is an artifact of quaternion orientational order parameter undergoing a phase transition in the quaternion plane (4D/3D+1t). In these “restricted dimensions,” the phase-amplitude uncertainty principle that applies to the quaternion order parameter plays an interesting role in allowing for a rich spectra of ground states accessed by either the minimization of phase-angle uncertainty or amplitude uncertainty throughout the system. Whereas orientational-order in crystals is facilitated by minimization of phase-angle uncertainty, through the binding of topological defects, atomic components in glassy solids are frozen-in – minimizing amplitude uncertainty – and the resulting solid is orientationally-disordered as a consequence. Hence, within this topological framework, the “ideal glass transition" (that occurs at the finite Kauzmann temperature) is considered to be a higher-dimensional analogue to the 2D/1D superfluid-to-Mott insulator quantum phase transition.
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