Graphene at the nanoscale: Electronic, magnetic and transport properties
Abstract: Engineering graphene at the nanoscale introduces dramatic changes in the low energy spectrum due to broken sublattice symmetry: a tunable energy gap and magnetic zero-energy modes appear, making graphene nanostructures ideal candidates for nanoelectronic and spintronic applications. In this talk, I will review various sublattice engineered graphene nanostructures such as such as quantum dots and ribbons. Using computational tools such as meanfield Hubbard, Hartree-Fock and exact diagonalization, I will show that it is possible to manipulate electronic, magnetic and transport properties through size and edge engineering. In particular, I will demonstrate that graphene nanostructures exhibit complex many-body effects such as Wigner crystallization, as well as impurity induced magnetic phases, Anderson localization and atomic collapse.