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

TL;DR

This study uses dynamical mean field theory to analyze the proximity effect between a high-temperature superconductor and a topological insulator, revealing how superconductivity penetrates the TI and how the TI influences the superconductor.

Contribution

It introduces a theoretical framework combining CDMFT with a heterostructure model to study the proximity effect in superconductor-topological insulator systems.

Findings

Superconductivity penetration depends on the Fermi level position.

The TI layer affects the Mott physics of the superconductor.

Increasing tunneling amplitude reduces Mott physics in the superconductor.

Abstract

We investigate the proximity effect in a heterostructure of the topological insulator (TI) \BiSe\ deposited on the HTSC material BSCCO. The latter is described by the one-band Hubbard model and is treated with cluster dynamical mean field theory (CDMFT), the TI layers being included via the CDMFT self-consistency loop. The penetration of superconductivity into the TI depends on the position of the Fermi level with respect to the TI gap. We illustrate the back action of the TI layer on the HTSC layer, in particular the gradual disappearance of Mott physics with increasing tunneling amplitude.