The sound report of Abu Qatadah describes the Prophet reciting al-Fatihah with additional verses in the first two rakahs of Zuhr and al-Fatihah alone in the last two.
Hanafis treat reciting al-Fatihah in the last two as the preferred sunnah, while Shafi‘i law requires al-Fatihah in every rakah. This follows the broader difference about the legal rank of al-Fatihah.