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The possibility to form excitons in photoilluminated correlated materials iscentral from fundamental and application oriented perspectives. In this paperwe show how the interplay of electron-electron interactions and a magneticsuperstructure leads to the formation of a peculiar spinful dark exciton, whichcan be detected in ARPES-type experiments and optical measurements. We studythis by using matrix product states (MPS) to compute the time evolution ofsingle-particle spectral functions and of the optical conductivity following anelectron-hole excitation in a class of one-dimensional correlatedband-insulators, simulated by Hubbard models with on-site interactions andalternating local magnetic fields. An excitation in only one specific spindirection leads to an additional band in the gap region of the spectralfunction only in the spin direction unaffected by the excitation and to anadditional peak in the optical conductivity. As both is formed only after theexcitation, this is interpreted as a dark exciton, which shows only in one spindirection. Recombination of the excitation happens on much longer time scalesthan the ones amenable to MPS. We discuss implications for experimental studiesin correlated insulator systems.

Formation of spinful dark excitons in Hubbard systems with magnetic superstructures