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 $Cu{O}_2$ layer of a cuprate superconductor modulates the local density of states $N(x,\omega )$. In recently reported experimental studies scanning-tunneling maps of $N(x,\omega )$ 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.

22 pages, 21 figures; enlarged discussion of the d-wave response, to be published in Physical Review B

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• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
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