Two-dimensional electron liquids

Truly two-dimensional objects are rare.  Even a thin piece of paper is trillions of atoms thick.  When physicists do succeed in producing 2D systems, quantum interactions can lead to new phenomena and Nobel prizes.  Two examples:  graphene---single-atom-thick sheets of carbon atoms---has unique mechanical, electrical, and optical properties; and two-dimensional electron gases (2DEG)---planar collections of electrons supported at the interface between certain semiconductors such as gallium arsenide---allow the observation of such emergent behaviors as the quantum Hall eff