About formation of electron strings

With the use of Hartree-Fock method we find that in narrow band solids there may arise an electron phase separation. These electron regions are spontaneously self-organized into the form of linear electron strings or droplets. The many-body self-trapping effect is due to a deformational electron-phonon interaction. A single string in a narrow band solid consists of a continuos chain of atoms which have trapped electrons (holes) due to the self-creation of a deformation well around this chain. We find that the length of such strings depends on the constant of deformation potential, the elastic modulus of the crystal and the inter-site Coulomb interaction between the particles.