It is narrated from Sa'id bin Jubayr (may Allah be pleased with him) that the practice of those who came before was that when they said the takbir, the imam would remain silent for a while, not reciting, for as long as it would take them to recite Surah al-Fatihah.
Abd al-Razzaq says that Ibn Jurayj, in his hadith, narrates through Ibn Khuthaym that Sa'id bin Jubayr (may Allah be pleased with him) says: When they said the takbir, they would not begin the recitation until they knew that those behind them had recited Surah al-Fatihah.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2953
Hisham bin Urwah (may Allah have mercy on him) narrates from his father (may Allah have mercy on him) that he said: O my dear sons! Recite (al-Fatihah) during the imam's pause, for "There is no prayer without Surah al-Fatihah."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2954
It is narrated from Hasan al-Basri (may Allah have mercy on him): Behind the imam, in every prayer, (be sure to) recite Surah al-Fatihah within yourself.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2955
It is reported from al-Sha'bi (may Allah have mercy on him): Behind the imam, in the first two rak'ahs of Zuhr and Asr, recite Surah al-Fatihah and some surah, and in the last two rak'ahs recite Surah al-Fatihah.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2956
Malik bin Mighwal (may Allah have mercy on him) narrates: I heard al-Sha'bi (may Allah have mercy on him), and he used to recite behind the imam in a fine voice.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2957