Study of IF Bandwidth of ${\hbox {MgB}}_{2}$ Phonon-Cooled Hot-Electron Bolometer Mixers

A noise bandwidth (NBW) of 6-7 GHz was obtained for hot-electron bolometer (HEB) mixers made of 10 nm MgB₂ films. A systematic investigation of the (IF) gain bandwidth as a function of the MgB₂ film thickness (30, 15, and 10 nm) is also presented. The gain bandwidth (GBW) of 3.4 GHz was measured for a 10 nm film, corresponding to a mixer time constant of 47 ps. For 10 nm films a reduction of the GBW was observed with the reduction of the critical temperature (Tc). Experimental data were analyzed using the two-temperature model. From the theoretical analysis, the electron-phonon time (τ_{e - ph}), the phonon escape time (τ_esc) and the electron and phonon specific heats (c_e, c_ph) were extrapolated giving the first model for HEB mixers of MgB₂ films.