The Smectic $A$-$C$ Phase Transition in Biaxial Disordered Environments

Details The Smectic $A$-$C$ Phase Transition in Biaxial Disordered Environments The Smectic $A$-$C$ Phase Transition in Biaxial Disordered Environments

2011-12-07

arxiv.org/abs/1112.1464v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

We study the smectic $A$-$C$ phase transition in biaxial disordered environments, e.g. fully anisotropic aerogel. We find that both the $A$ and $C$ phases belong to the universality class of the "XY Bragg glass", and therefore have quasi-long-ranged translational smectic order. The phase transition itself belongs to a new universality class, which we study using an $\epsilon=7/2-d$ expansion. We find a stable fixed point, which implies a continuous transition, the critical exponents of which we calculate.

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