Origin of electron-hole asymmetry in the scanning tunneling spectrum of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$

Abstract

We have developed a material specific theoretical framework for modelling scanning tunneling spectroscopy (STS) of high temperature superconducting materials in the normal as well as the superconducting state. Results for $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ (Bi2212) show clearly that the tunneling process strongly modifies the STS spectrum from the local density of states (LDOS) of the $d_{x^2-y^2}$ orbital of Cu. The dominant tunneling channel to the surface Bi involves the $d_{x^2-y^2}$ orbitals of the four neighbouring Cu atoms. In accord with experimental observations, the computed spectrum displays a remarkable asymmetry between the processes of electron injection and extraction, which arises from contributions of Cu $d_{z^2}$ and other orbitals to the tunneling current.

5 pages, 4 figures, published in PRL

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• Scanning tunneling spectroscopy of high-temperature superconductors
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• Theory of Asymmetric Tunneling in the cuprate superconductors
• Particle-Hole Asymmetry in Doped Mott Insulators: Implications for Tunneling and Photoemission Spectroscopies
• Raising Bi-O bands above the Fermi energy level of hole-doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and other cuprate superconductors
• Preeminent role of the Van Hove singularity in the strong-coupling analysis of scanning tunneling spectroscopy for two-dimensional cuprates
• Paramagnon-induced dispersion anomalies in the cuprates

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