Localized High Frequency Electrodynamic Behavior of Optimally-doped Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ Single Crystal films

Localized high frequency (several GHz) electrodynamic properties of a high quality epitaxial, single-crystal Iron-Pnicitde Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ thin film near optimal doping (x=0.08) are measured under a localized and strong RF magnetic field, created by a near-field microwave microscope. Two reflection electrodynamic measurements, including linear and the third harmonic responses, are performed to understand the electromagnetic properties of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$. Our measurement results show that Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ has have a wide superconducting transition width and may have a multi-gap nature. In addition, based on the $1\mathrm{/}{T}^2$ dependence of the third harmonics signal at lower temperature, Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ shows the possibility of nodal behavior.