Improvement of anaerobic digestion containing sulfur with conductive materials: Focusing on recent advances and internal biological mechanisms

•Conductive materials enhance performances of anaerobic digestion containing sulfur Conductive materials promote quorum sensing signal molecule AHLs generation.•AHLs may affect DIET by promoting EPS formation and improving EPS redox activity.•Conductive materials synergistically promote sulfur metabolism and methanogenesis.•Conductive materials establish potential partnership between SRB and methanogens.