Proceedings of September Meeting 2016 (NFM16)
Publication date: 14th June 2016
We review our recent theoretical works on 2D materials based on conventional semiconductors and fabricated using either oriented attachment of colloidal nanocrystals or nanoscale lithography of 2D films. The band structure of these materials results from the effect of the periodic scattering of the electrons induced by the nanogeometry. By combining the original band structure of the bulk semiconductor and the effects of the nano-structuring, we show that it is possible to realize materials characterized by exotic band structures, including Dirac cones, flat bands, band touching points and topological gaps. In the case of materials based on the assembly of nanocrystals, we discuss the main features of the conduction and valence bands, including the effects of the spin-orbit coupling. The differences between graphene-like and silicene-like structures are explored in detail. Furthermore, the lithographic approach enables the realization of band dispersions which were predicted using effective lattice Hamiltonians. The originality of the predicted band structures opens the door to the exploration of new quantum phases for electrons.