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We investigate the proximity effect in a heterostructure of the topologicalinsulator (TI) \BiSe\ deposited on the HTSC material BSCCO. The latter isdescribed by the one-band Hubbard model and is treated with cluster dynamicalmean field theory (CDMFT), the TI layers being included via the CDMFTself-consistency loop. The penetration of superconductivity into the TI dependson the position of the Fermi level with respect to the TI gap. We illustratethe back action of the TI layer on the HTSC layer, in particular the gradualdisappearance of Mott physics with increasing tunneling amplitude.

Proximity effect in a heterostructure of a high $T_c$ superconductor with a topological insulator from Dynamical mean field theory