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The optical properties of the superconducting single crystalRb$_{0.8}$Fe$_{1.68}$Se$_2$ with $T_{c}$ $\simeq$ 31 K have been measured overa wide frequency range in the $ab$ plane. We found that the opticalconductivity is dominated by a series of infrared-active phonon modes atlow-frequency region as well as several other high-frequency bound excitations.The low-frequency optical conductivity has rather low value and shows quitesmall Drude-like response, indicating low carriers density in this material.Furthermore, the phonon modes increase continuously in frequency withdecreasing temperature; specifically, the phonon mode around 200 cm$^{-1}$shows an enhanced asymmetry effect at low temperatures, suggesting anincreasing electron-phonon coupling in this system.

Electron-phonon coupling in the superconducting single crystal Rb$_{0.8}$Fe$_{1.68}$Se$_2$