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We have investigated electronic and magnetic properties of graphene nanodisks(nanosize triangular graphene) as well as electromechanical properties ofgraphene nanojunctions. Nanodisks are nanomagnets made of graphene, which arerobust against perturbation such as impurities and lattice defects, where theferromagnetic order is assured by Lieb's theorem. We can generate a spincurrent by spin filter, and manipulate it by a spin valve, a spin switch andother spintronic devices made of graphene nanodisks. We have analyzed nanodiskarrays, which have multi-degenerate perfect flat bands and are ferromagnet. Byconnecting two triangular graphene corners, we propose a nanomechanical switchand a rotator, which can detect a tiny angle rotation by measuring currentsbetween the two corners. By making use of the strain induced Peierls transitionof zigzag nanoribbons, we also propose a nanomechanical stretch sensor, inwhich the conductance can be switch off by a nanometer scale stretching.

Complex Structure of Triangular Graphene: Electronic, Magnetic and Electromechanical Properties