Even-odd oscillation and valley polarization of transmission between multilayer graphenes

摘要

Electron transmission through a boundary between multi-layer graphenes with Bernal stacking consisting of different number of layers is studied. A valley polarization in transmission probability appears as in monolayer and bilayer systems, exhibits considerable oscillation depending of even or odd layer numbers, and its amplitude gradually decreases with the layer number. The total transmission shows oscillation with much smaller amplitude.