On the Pair Correlations Between Electrosolitons

Abstract

The concept of’ molecular soliton’1 is intensively used to explain various phenomena in biological physics and condensed matter physics^2–4. In this respect there arises the question of soliton interactions in low-dimensional molecular systems. It was shown in^{5, 6} that in the adiabatic approximation at moderate enough values of electron-phonon interaction constant two electrosolitons with opposite spins due to their interaction with the local deformation of the chain bind in a localized bound singlet spin state called’ bisoliton’. The binding energy of such state depends both on the exchange and electron-phonon interaction constants, as well as on the velocity of the bisoliton. As it was shown in⁷, in the strong nonadiabatic limit, two extra electrons with opposite spins form a bound delocalized state. The interaction of two electrosolitons with parallel spins was investigated in the zero adiabatic approximation in⁸ where it was shown that the triplet bound state is unstable with respect to the decay into two solitons. Here we investigate the interaction of two extra electrons with parallel spins and the interaction of two singlet bisolitons, with account of the nonadiabaticity of the system and show that the latter effect results in the’ direct’ interaction between the solitons which stabilizes the two-soliton triplet state.