LABORATORI NAZIONALI DI FRASCATI
Speaker: Salvatore Capozziello (Universita' di Napoli ”Federico II” and INFN Sez. di Napoli).
We propose a model describing the evolution of free electron
current density in graphene giving rise to bidimensional wormhole solutions. Based on analogue concepts of General Relativity, we perform the analysis using the difference between curvatures of parallel and antiparallel spins. In such a framework, effective “gravitons” emerges in
the form of gauge fields exchanged between electrons. In a plain graphene system, the curvatures produced by both kinds of spins neutralize each other giving rise to no
conduction. However, in the presence of geometrical defects of the graphene sheets, the inequality between curvatures leads to the emergence of current densities and conductivity in a wormhole solution. Depending on the type of defects, the resulting current density can be negative or positive. Possible applications are discussed.