NOVELTY - The method comprises: dispersing a conjugated material, a solvent for the conjugated material, and carbon nanotubes (CNTs) or graphene comprising structures (102b) to form a dispersion, where the CNTs or graphene comprising structures includes an outer surface; and evaporating the solvent from the dispersion to form the CNT or graphene comprising conjugated composite material. The conjugated composite material comprises partially crystalline supramolecular structures (102a) including a portion having the conjugated material non-covalently secured to the outer surface.    USE - The method is useful for forming composite materials (claimed) that is useful in sensors, energy storage devices (e.g. fuel cells, lithium ion battery, and supercapacitors), organic photovoltaic cell, nanoscale electronics, an interdigitated organic FET, biomolecular imaging and detection, thermal management, and conductive nanocomposite.    ADVANTAGE - The method is capable of simply dispersing and functionalizing CNTs and graphenes in the supramolecular structures of the composite materials without damaging their chemical structures and altering their electrical and mechanical properties in a versatile manner.    DETAILED DESCRIPTION - The method comprises: dispersing a conjugated material, a solvent for the conjugated material, and carbon nanotubes (CNTs) or graphene comprising structures (102b) to form a dispersion, where the CNTs or graphene comprising structures includes an outer surface; and evaporating the solvent from the dispersion to form the CNT or graphene comprising conjugated composite material. The conjugated composite material comprises partially crystalline supramolecular structures (102a) including a portion having the conjugated material non-covalently secured to the outer surface of the CNTs or graphene comprising structures. The supramolecular structures have an average length, which extends outward in a length direction from the outer surface of the CNTs or graphene comprising structures, where the average length is greater than an average width of the supramolecular structures. The method further comprises: casting the dispersion on a substrate before the evaporating step; and heating the dispersion to 70 degrees C and then cooling the dispersion at a cooling rate of less than 50 degrees C per hour to room temperature before the evaporating step. The conjugated material comprises a conjugated homopolymer, a block copolymer comprising one block of a conjugated polymer and one block of a non-conjugated polymer, a conjugated oligomer, or a conjugated non-polymeric or non-oligomeric material. The supramolecular structures comprise nanocolumns, nanoribbons or nanofibers. The supramolecular structures non-covalently and electrically couple a portion of the CNTs or graphene comprising structures together. The mass ratio of the conjugated material to the CNT or the graphene comprising structures is 3-60.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of a battery comprising supramolecular structures non-covalently attached to CNT or graphene comprising structures.    Supramolecular structures (102a)    CNT or graphene comprising structures (102b)    Electrodes (341, 342)    Separator (343)    Electrolyte. (346)