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The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea

L. Capriotti·D. J. Scalapino·R. D. Sedgewick
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Abstract

A weak scattering potential imposed on a $CuO_2$ layer of a cuprate superconductor modulates the local density of states $N(x,ω)$. In recently reported experimental studies scanning-tunneling maps of $N(x,ω)$ have been Fourier transformed to obtain a wave-vector power spectrum. Here, for the case of a weak scattering potential, we discuss the structure of this power spectrum and its relationship to the quasi-particle spectrum and the structure factor of the scattering potential. Examples of quasi-particle interferences in normal metals and $s$- and d-wave superconductors are discussed.

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L. Capriotti, D. J. Scalapino, R. D. Sedgewick. 2003-05-09. The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea. https://doi.org/10.1103/physrevb.68.014508

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