Exciton condensation in 1T-TiSe$_2$ observed with meV-resolved electron energy-loss spectroscopy

Light absorbed by a semiconductor creates an excited electron and hole which, being oppositely charged, may bind together into an exciton. In the 1960s it was realized that, if this binding energy were larger than the semiconductor band gap, excitons would have negative energy and spontaneously proliferate. The resulting "excitonic insulator" is a macroscopic condensate of electron-hole pairs characterized by a redistribution of electronic charge, or charge density wave (CDW). For the last 50 years, no experimental technique has unambiguously identified an excitonic insulator in nature, despite many candidate materials being investigated. The reason is that its tell-tale signature--an electronic "soft mode" with finite momentum--could not be detected with any experimental technique. Here, we apply a new, meV-resolution, momentum-resolved electron energy-loss spectroscopy (M-EELS) technique to the transition metal dichalcogenide 1T-TiSe$_2$. We find that, near T$_C$ = 190 K, this material exhibits a soft electronic collective mode that disperses to zero energy, indicating condensation of electron-hole pairs with finite center-of-mass momentum. This excitation hardens at low temperature into an amplitude mode of an excitonic condensate coupled to the crystal lattice. Our study represents the first explicit evidence for the condensation of excitons in any material, enabling future studies of a new type of macroscopic quantum condensate.