Genetics
Nine skeletons dating to the 7th–9th centuries excavated from elite military burial mounds of the Khazar Khaganate (in the modern Rostov region) were analyzed in two genetic studies (from 2019 and 2021). The Khazar leadership & military elite seem to have been primarily the ones who converted to Judaism. According to the 2019 study, the genetic tests “confirm the Turkic roots of the Khazars, but also highlight their ethnic diversity and some integration of conquered populations”. The samples did not show a genetic connection to Ashkenazi Jews, and the results do not support the hypothesis of Ashkenazi Jews being descendants of the Khazars. In the 2021 study the results showed both European and East Asian paternal haplogroups in the samples: three individuals carried R1a Y-haplogroup, two had C2b, and the rest carried haplogroups G2a, N1a, Q, and R1b, respectively. According to the authors, “The Y-chromosome data are consistent with the results of the craniological study and genome-wide analysis of the same individuals in the sense that they show mixed genetic origins for the early medieval Khazar nobility”.
Regarding Ashkenazi Jews: Not sure what Nazi and Ashkenazi have in common other than the coincidence that the last four letters in Ashkenazi spell ‘nazi’.