Nature of single-particle states in disordered graphene

Density of states of disordered graphene

We calculate the average single-particle density of states in graphene with disorder due to impurity potentials. For unscreened short-ranged impurities, we use the non-self-consistent and self-consistent Born and T-matrix approximations to obtain the self-energy. Among these, only the self-consistent T-matrix approximation gives a nonzero density of states at the Dirac point. The density of sta...

Single-Particle Tunneling in Doped Graphene-Insulator-Graphene Junctions

The characteristics of tunnel junctions formed between nand p-doped graphene are investigated theoretically. The single-particle tunnel current that flows between the twodimensional electronic states of the graphene (2D-2D tunneling) is evaluated. At a voltage bias such that the Dirac points of the two electrodes are aligned, a large resonant current peak is produced. The magnitude and width of...

Massless and massive particle-in-a-box states in single-and bi- layer graphene

Electron transport through short, phase-coherent metal–graphene–metal devices occurs via resonant transmission through particle-in-a-box-like states defined by the atomically-sharp metal leads. We study the spectrum of particle-in-a-box states for singleand bi-layer graphene, corresponding to massless and massive two-dimensional (2-D) fermions. The density of states D as a function of particle ...

Single-Particle States and Elementary Excitations in Graphene Bi-Wires: Minding the Substrate

Fractional quantum Hall effect in strained graphene: stability of Laughlin states in disordered (pseudo)magnetic fields