Heavy d-Electron Quasiparticle Interference and Real-space Electronic Structure of $Sr_{3}Ru_{2}O_{7}$

The intriguing idea that strongly interacting electrons can generate electronic liquid crystalline phases is already a decade old, but these systems still represent an unexplored frontier of condensed matter physics. One reason is that visualization of the many-body quantum states generated by the strong interactions, and of the resulting nematic electronic phases, has not been achieved. $Sr_{3}Ru_{2}O_{7}$ possesses (i) a very strongly renormalized ``heavy'' d-electron Fermi liquid , and (ii) exhibits a field-induced transition to an electronic nematic phase. We present the first observation of scattering interference of heavy d-electron quasiparticles at individual Ti dopant atoms substituted in $Sr_{3}(Ru_{1-x}Ti_{x})_{2}O_{7}$, and the associated discovery that it derives from a band formed from the Ru $d_{xz}, d_{yz}$ orbitals recently postulated to be behind the formation of the nematic state. Simultaneously, we achieve direct sub-atomic imaging of r-space electronic structure which can be associated with these same d-orbitals within the many-body state.