Abstract
Dimerization in a one-dimensional chain is modelled using an alternating potential model. Within the mean field approximation, the present model includes an effective pairing contribution between the bonding electrons as well as the Su-Schrieffer-Heeger Hamiltonian. It is shown that the effective pairing introduces the soliton and the energy gap in the dimerized one- dimensional system. It is also found that superconductivity in the dimerized system is prevented by the energy barrier between the two degenerate phases.
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