Laser-induced carbon 1D structures and some of their electrophysical properties have been studied by means of computer simulations. Evidence of the possible emergence of a new allotropic phase of carbon (carbyne) produced through laser melting of graphite has been experimentally demonstrated. Methods for obtaining topological nanoclusters of controlled modifications using laser ablation are discussed, and the obtained images are presented. The main results of modeling 1D structures with fractal fragments are considered. Raman spectra with corresponding confirmation of the existence of laser-induced low-dimensional carbon structures are displayed. The structures discovered enable the development of next-generation elements and devices for nanoelectronics and nanophotonics based on new physical principles.