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For electronic states and photoinduced charge dynamics near the neutral-ionictransition in the mixed-stack charge-transfer complextetrathiafulvalene-$p$-chloranil (TTF-CA), we review the effects of Peierlscoupling to lattice phonons modulating transfer integrals and Holsteincouplings to molecular vibrations modulating site energies. The formerstabilizes the ionic phase and reduces discontinuities in the phase transition,while the latter stabilizes the neutral phase and enhances the discontinuities.To reproduce the experimentally observed ionicity, optical conductivity andphotoinduced charge dynamics, both couplings are quantitatively important. Inparticular, strong Holstein couplings to form the highly-stabilized neutralphase are necessary for the ionic phase to be a Mott insulator with largeionicity. A comparison with the observed photoinduced charge dynamics indicatesthe presence of strings of lattice dimerization in the neutral phase above thetransition temperature.

Effects of Lattice and Molecular Phonons on Photoinduced Neutral-to-Ionic Transition Dynamics in Tetrathiafulvalene-$p$-Chloranil