Microscopic Theory for Amplitude-Modulated Pair Density Waves in Doped Heavy Fermion Materials

The interplay between fractionalization and strong interactions often leads to exotic phases, a phenomenon that is readily explored within an analytically tractable Kondo lattice model coupled to a Kitaev spin-orbit liquid, also known as the CPT model. Motivated by the recent observation of amplitude-modulated pair-density waves in $UTe_2$, we present a microscopic theory for the emergence of such phases in a doped Kondo lattice model coupled to a Kitaev spin-orbit liquid. Previous studies have uncovered exotic phases, including odd-frequency triplet superconductivity and decoupled Kitaev orbital and Yao-Lee spin liquids at half-filling. Here, we demonstrate that doping the model away from half-filling leads to the formation of an amplitude-modulated pair-density wave, even in the absence of a magnetic field.