Modeling of graphene-based sensor for super sensitivity application in bio-molecular detection

Graphene-based sensors can detecte bio-molecular with super sensitivity, the single electron effect plays a role that can not be ignored. In this paper, based on the hexagonal network topology structure and the single electron tunneling model, we present the single electron devices network model for graphene-based electronic. And, the boundary constraint conditions and connected and coupling relation matrix of graphene-based sensor are described. As well as, a simple electrical expression formalism of the detected molecules about graphene-based sensors is introduced to reduce computational complexity of this model.