Two-particle spectral function for disordered s-wave superconductors: Local maps and collective modes
Abhisek Samanta, Amulya Ratnakar, Nandini Trivedi, Rajdeep Sensarma
DOI 10.1103/PhysRevB.101.024507 · Physical Review B
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Abstract
We make testable predictions for the local two-particle spectral function of a disordered s-wave superconductor, probed by scanning Josephson spectroscopy (SJS), providing complementary information to scanning tunneling spectroscopy (STS). We show that SJS provides a direct map of the local superconducting order parameter that is found to be anticorrelated with the gap map obtained by STS. Furthermore, this anticorrelation increases with disorder. For the momentum-resolved spectral function, we find the Higgs mode separates from the continuum at arbitrarily small disorder and appears as a nondispersive subgap feature at low momenta, spectrally separated from phase modes for all disorder strengths. The amplitude-phase mixing remains small at low momenta even when disorder is large. Remarkably, even for large disorder and high momenta, the amplitude-phase mixing oscillates rapidly in frequency and hence does not significantly affect the purity of the Higgs and phase-dominated response functions.
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