4 maps of Khazaria from the period before 600AD to the end in about 900AD
Note that in the beginning, the Khazars were a confederation of Turkic tribes and others led by a royal tribe that was of Turkic origin. Incorporation of Persian Jews and the conversion of the royal tribe to Judaism came later.
When the Kievan Rus destroyed the capital, Atil, this effectively broke the back of the empire, however all the subject tribes remained and even the royal tribe did not get eliminated, they just lost their power base. Some tribes migrated to different areas, others continued their existing settled or migrant herding lifestyle, and the more warlike ones found other empires to join as horse warriors (Hussars).