The experimental isolation of graphene, one monolayer of graphite, has generated great interest partly because of the potential of carbon-based nano-scale electronics but also for fundamental reasons. Experiments have shown that the charge conductivity of graphene reaches a minimal value of order e2/h. It has also been found that the conductivity is linearly dependent on the electron density. Furthermore, an unconventional half-integer quantum Hall effect has been discovered. These experiments are in qualitative agreement with theoretical results based on the effective low-energy Dirac theory of graphene.
Measurements of other quantities than the charge conductance can provide additional and valuable information of graphene properties. In a recent study we have predicted that the thermopower can provide information about impurities in graphene, which has been qualitatively confirmed experimentally very recently. Current efforts include extensions to nanostructured graphene, such as nanoribbons.  T. Löfwander and M. Fogelström, Phys.
 T. Löfwander and M. Fogelström, Phys. Rev. B 76, 193401 (2007)
 V. Ebrahimi, M.Sc. thesis, Chalmers 2008