A method for preparing a conjugated polymer involves a DHAP polymerization of a 3,4-dioxythiophene, 3,4-dioxyfuran, or 3,4-dioxypyrrole and, optionally, at least one second conjugated monomer in the presence of a Pd or Ni comprising catalyst, an aprotic solvent, a carboxylic acid at a temperature in excess of 120° C. At least one of the monomers is substituted with hydrogen reactive functionalities and at least one of the monomers is substituted with a Cl, Br, and/or I. The polymerization can be carried out at temperature of 140° C. or more, and the DHAP polymerization can be carried out without a phosphine ligand or a phase transfer agent. The resulting polymer can display dispersity less than 2 and have a degree of polymerization in excess of 10.