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We present a phenomenological calculation of the quasiparticle-interference(QPI) pattern and inelastic Neutron scattering (INS) spectra in iron-pnictideand layered iron-selenide compounds by using materials specific band-structureand superconducting (SC) gap properties. As both the QPI and the INS spectraarise due to scattering of the Bogolyubov quasiaprticles, they exibit anone-to-one correspondence of the scattering vectors and the energy scales. Weshow that these two spectroscopies complement each other in such a way that acomparative study allows one to extract the quantitative and unambiguousinformation about the underlying pairing structure and the phase of the SC gap.Due to the nodeless and isotropic nature of the SC gaps, both the QPI and INSmaps are concentrated at only two energies in pnictide (two SC gaps) and oneenergy in iron-selenide, while the associated scattering vectors q forscattering of sign-changing and same-sign of the SC gaps change between thesespectroscopies. The results presented, particularly for newly iron-selenidecompounds, can be used to test the nodeless d-wave pairing in this class ofhigh temperature superconductors.

Testing the sign-changing superconducting gap in iron-based superconductors with quasiparticle interference and neutron scattering