Optical study of the multiple charge density wave transitions in ErTe$_3$

We present an optical spectroscopy study on singe crystalline ErTe$_3$, a rare-earth-element tri-telluride which experiences two successive charge density wave (CDW) transitions at T$_{c1}$ = 267 K and T$_{c2}$ = 150 K. Two corresponding gap features, centered at 2770 \cm ($\sim$ 343 meV) and 890 \cm ($\sim$ 110 meV) respectively, are clearly seen in ordered state. A pronounced Drude component, which exists at all measurement temperatures, demonstrates the partial gap character of both CDW orders. About half of the unmodulated Fermi surface (FS) remains in the CDW state at the lowest measurement temperature. The study also reveals that fluctuation effect is still prominent in this two-dimensional (2D) material.