In this chapter, we study the electronic structure of arbitrarily stacked multilayer graphene in the absence or presence of magnetic field. Energy band structure and Landau level spectrum are obtained using a pi-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling terms. Using degenerate state perturbation theory, we analyze the low-energy effective theory and show that the low-energy electronic structure of arbitrarily stacked graphene multilayers consists of chiral pseudospin doublets with a conserved chirality sum. We discuss its implications in Quantum Hall effect, optical conductivity, transport conductivity and pseudospin magnetism.
Citation: Graphene Nanoelectronics: Metrology, Synthesis, Properties and Applications
Publisher Info: Springer, Berlin, -1
Pub Type: Book Chapters
Condensed matter theory, Graphene