The authors have previously made some bold claims! http://www.mathcomp.leeds.ac.uk/turing2012/WScie12/Content/a...

This is jaw droppingly terrible, both in its description of quantum criticality (the article) and the assumption of the paper that this is somehow biologically meaningful. In fact, this is so bad I might even be roused to write a Quora post on it.

For a better description of quantum critical points, see the book by Sachdev (http://www.amazon.com/Quantum-Phase-Transitions-Subir-Sachde...) and for a better take on quantum criticality in molecules similar to these, see (http://arxiv.org/pdf/1307.7676.pdf)