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We consider the D3-D7 model and analyze the phase transition from theblack-hole phase to another black-hole phase using the spectral function of aprobe fermion on D7 in the presence of the finite density and temperature. Fromthe fermionic spectral functions, we study the temperature dependence of thedecay rate and we observe a jump in it at the critical temperature thatcorresponds to the first order phase transition. We found that if we assumethat the Drude model works in this case so that the resistivity is proportionalto the fermion decay rate, the jump matches the resistivity data in a heavyfermion material.

The black hole to black hole phase transition probed by the D3-D7 model fermionic spectral functions