Theory of the interaction of delocalized charge carriers with magnetic excitations in high-temperature superconductors

The notion of the existence of magnetic topological solitons (vortices) in the cuprate layers of high-temperature superconductors is used to calculate the energies of the bound states of a charge carrier with a vortex (vortexon) and of two carriers with a vortex (bivortexon). The possible role of bivortexons in the high-temperature superconductivity problem is discussed.