From ddc18664974154798ab4c865589f90cd60d20264 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Wed, 21 Aug 2019 15:06:30 -0400 Subject: added comments on irreps --- main.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) (limited to 'main.tex') diff --git a/main.tex b/main.tex index 0a31ff4..a245429 100644 --- a/main.tex +++ b/main.tex @@ -155,6 +155,7 @@ action of the point group, or \epsilon_\Btg^{(1)}=2\epsilon_{12} \\ \epsilon_\Eg^{(1)}=2\{\epsilon_{11},\epsilon_{22}\}. \end{aligned} + \label{eq:strain-components} \end{equation} Next, all quadratic combinations of these irreducible strains that transform like $\Aog$ are included in the free energy as @@ -183,7 +184,7 @@ If $\X$ is a representation not present in the strain there can be no linear coupling, and the effect of $\eta$ going through a continuous phase transition is to produce a jump in the $\Aog$ strain stiffness. We will therefore focus our attention on order parameter symmetries that produce linear couplings to -strain. +strain. Looking at the components present in \eqref{eq:strain-components}, this rules out all of the u-reps (odd under inversion) and the $\Atg$ irrep as having any anticipatory response in the strain stiffness. If the order parameter transforms like $\Aog$, odd terms are allowed in its free energy and any transition will be abrupt and not continuous without -- cgit v1.2.3-70-g09d2