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We show that in anharmonic one-dimensional crystal lattices pairing ofelectrons or holes in a localized bisolectron state is possible due to couplingbetween the charges and the lattice deformation that can overcompensate theCoulomb repulsion. Such localized soliton-like states appear as travelingground bound singlet states of two extra electrons in the potential wellcreated by the local lattice deformation. We also find the first excitedlocalized state of two electrons in a soliton-like lattice deformationpotential well given by a triplet state of two electrons. The results of theanalytical study of interacting electrons in a lattice with cubic anharmonicityare compared with the numerical simulations of two electrons in an anharmoniclattice taking into account of the (local) Hubbard electron-electron repulsion.We qualitative agreement between both approaches for a broad interval ofparameter values. For illustration we give expressions for the bisolectronbinding energy with parameter values that are typical for biologicalmacromolecules. We estimate critical values of Coulomb repulsion where thebisolectron becomes unbound.

Electron Pairing and Coulomb Repulsion in One-Dimensional Anharmonic Lattices