Two new topologically ordered glass phases of smectics confined in anisotropic random media

TL;DR

This paper predicts two novel glassy phases in smectic liquid crystals confined in anisotropic porous media, characterized by unique elastic properties and phase diagrams, advancing understanding of topologically ordered states in disordered environments.

Contribution

It introduces two new topologically ordered glass phases of smectics in anisotropic media, with detailed theoretical analysis and predictions of their properties.

Findings

Identification of XY Bragg glass phase in anisotropic media

Discovery of a triaxially anisotropic m=1 Bragg glass with anomalous elasticity

Predicted phase diagram and experimental observables for these phases

Abstract

We show that smectic liquid crystals confined in_anisotropic_ porous structures such as e.g.,_strained_ aerogel or aerosil exhibit two new glassy phases. The strain both ensures the stability of these phases and determines their nature. One type of strain induces an ``XY Bragg glass'', while the other creates a novel, triaxially anisotropic ``m=1 Bragg glass''. The latter exhibits anomalous elasticity, characterized by exponents that we calculate to high precision. We predict the phase diagram for the system, and numerous other experimental observables.