These are very challenging materials because intramolecular and intermolecular forces differ strongly in size but have to be described accurately. Recent focus of our group is on organic molecules that are considered in (opto-) electronics applications.
Further reading: Adv. Funct. Mater. (2015), J. Phys. Chem. C (2014)
Graphene and its friends appear in many forms (CVD, mechanical exfoliated, liquid-phase exfoliated, epitaxial, etc.). We have been looking at them from the charge transport perspective including fundamental questions such as weak localization phenomena or quantum Hall effect.
Further reading: EPL 94, 47006 (2011), Phys. Rev. Lett. 110, 086602 (2013), Phys. Rev. B 89, 161401(R) (2014)
TIs and other novel forms of topological materials have a quite complex basis including heavy atoms (such as Bi etc.) and often large unit cells. We have been looking into more simple models such as the seminal Fu-Kane-Mele model and analyzed effects of disorder on the spin polarization of surface states.
Further reading: Phys. Rev. Lett. 109, 266805 (2012)