Sagnac Electron Interference as a Probe of Electronic Structure.

Electronic analogues of optical interferences have been used to investigate quantum phenomena in condensed matter. However, the most sensitive, Sagnac optical interference, has not been realized in the electronic domain. We report electronic Sagnac interference using ultraclean carbon nanotubes. We show that Sagnac interference manifests as conductance oscillations versus gate voltage. Compared to Fabry-Perot conductance oscillations, Sagnac oscillations have a larger period and are more robust to temperature. Using nanotubes of known structure, we show that Sagnac oscillations are a probe of nanotube chirality in a transport measurement. Furthermore, upon tuning the system through a topological phase transition in a magnetic field, we find that the Sagnac interference undergoes a {\pi} phase-shift. Our interferometry may be used for electronic structure characterization and study of many-body & photogalvanic effects in these model chiral one-dimensional systems.