Aerogel
Finally, news of a site in the UK testing, aerogel backed gypsum board composite, the Proctor group are providing the units, consisting of two 9mm layers of aerogel pre-bonded to 9mm plasterboard.
Aerogel has thermal conductivity (lambda) of 0.014 W/mK compare that to fiberglass 0.033 W/mK which is only half as efficiency. You can see the possibilities of this very thin insulation, with the obvious benefits for use as internal room insulation. The report will make interesting reading.