Probing Dirac Fermions in Graphene by Scanning Tunneling Microscopy and Spectroscopy

Abstract

A brief review is given on electronic and transport properties of monolayer graphene from a theoretical point of view. The topics include the effective-mass description of electronic states, topological anomaly associated with Berry's phase, singular diamagnetic susceptibility, zero-mode anomalies and their removal due to level broadening effects, the symmetry crossover among symplectic, unitary, and orthogonal due to the presence of special time reversal symmetry, and interaction with acoustic, optical, and zone-boundary phonons.