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Spectral Decomposition And Matrix Element Effects In Scanning Tunneling Spectroscopy Of Bi₂Sr₂Cacu₂O₈₊Δ, Jouko Nieminen, Ilpo Suominen, R. Markiewicz, Hsin Lin, A. Bansil

Robert Markiewicz

We present a Green’s function-based framework for modeling the scanning tunneling spectrum from the normal as well as the superconducting state of complex materials where the nature of the tunneling process—i.e., the effect of the tunneling “matrix element,” is properly taken into account. The formalism is applied to the case of optimally doped Bi₂Sr₂CaCu2=₂O_8+δ (Bi2212) high-Tc superconductor using a large tight-binding basis set of electron and hole orbitals. The results show clearly that the spectrum is modified strongly by the effects of the tunneling matrix element and that it is not a simple replica of the local density of …