Electron-phonon coupling of epigraphene at millikelvin temperatures

We investigate the basic charge and heat transport properties of charge neutral epigraphene at sub-kelvin temperatures, demonstrating nearly logarithmic dependence of electrical conductivity over more than two decades in temperature. Using graphenes sheet conductance as in-situ thermometer, we present a measurement of electron-phonon heat transport at mK temperatures and show that it obeys the $T^4$ dependence characteristic for clean two-dimensional conductor. Based on our measurement we predict the noise-equivalent power of $sim 10^{-22}~{rm W}/sqrt{{rm Hz}}$ of epigraphene bolometer at the low end of achievable temperatures.