2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103083We discuss the Luttinger-liquid charge-density-wave and Peierls-insulator Mott-insulator quantum phase transitions in 1D electron-phonon systems.Lecture notes for the International School of Physics "Enrico Fermi" on "Polarons in Bulk Materials and Systems with Reduced Dimensionality"Strongly Correlated Electronstext