Non-equilibrium Green’s Function Study of Transport in Disordered Double-layer Graphene Systems by Brian Jon Dellabetta Thesis

The superfluid properties of disordered double-layer graphene systems are investigated using the non-equilibrium Green’s function (NEGF) formalism. The complexity of such a structure makes it imperative to study the effects of lattice vacancies which will inevitably arise during fabrication. Room-temperature performance characteristics for both ideal and disordered bilayer graphene systems are compared in an effort to illustrate the behavior of a Bose-Einstein condensate in the presence of lattice defects under non-equilibrium conditions. The study finds that lattice vacancies that spread throughout the top layer past the coherence length have a reduced effect compared to the ideal case. However, vacancies concentrated near the metal contacts within the coherence length significantly alter the interlayer superfluid transport properties.