Interchain polaron tunneling intrans-polyacetylene

The tunneling of a polaron between two chains of polyacetylene chains due to harmonic phonons is studied within the adiabatic approximation. The Franck-Condon factor for the tunneling is calculated to be 0.1, yielding a perpendicular polaron bandwidth of $\mathrm{}\left(0.1\right)4t_{\perp }\sim 0.03$ eV. The quantum correction to the polaron energy, $\delta E_P$, is found to be $\delta E_P\sim -\frac{E_P}{6}$, where $E_P=0.6\mathrm{}$ eV is the energy of the polaron.