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We address two long-standing questions regarding the hidden order in URu2Si2:Is it associated with the hybridization process, and what are the distinctroles played by the localized and itinerant electrons? Our quasiparticlescattering spectroscopy reveals a hybridization gap ubiquitous in the entirephase space spanned by P and Fe substitutions in URu2Si2, including theno-order and antiferromagnetic regions, with minimal change upon crossing thephase boundary. This indicates its opening isn't associated with the ordering,and thus localized electrons must be the major player. Towards a consistentunderstanding of all the other gap-like behaviors observed only belowtransition temperatures, we analyze the electrical resistivity using a model inwhich gapped bosonic excitations are the dominant scattering source. With theirstiffness set to follow an unusual temperature dependence (decreasing withdecreasing temperature), this model fits all of our resistivity data wellincluding the jump at the transition. Remarkably, the extracted gap increasesslowly with increasing Fe content, similarly to the gap detected by inelasticneutron scattering at Q1 = (1.4, 0, 0), suggesting a common origin. Such amodel can also naturally explain the Hall effect temperature dependence withoutinvoking Fermi surface gapping.

Origin of gap-like behaviors in URu$_2$Si$_2$: Combined study via quasiparticle scattering spectroscopy and resistivity measurements