The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea
Abstract
A weak scattering potential imposed on a CuO2 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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