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Recently it has been found that, when operated at large input power, thelinewidth of terahertz radiation emitted from intrinsic Josephson junctionstacks can be as narrow as some megahertz. In this high-bias regime a hot spotcoexists with regions which are still superconducting. Surprisingly, thelinewidth was found to decrease with increasing bath temperature. We present asimple model describing the dynamics of the stack in the presence of a hot spotby two parallel arrays of pointlike Josephson junctions and an additional shuntresistor in parallel. Heat diffusion is taken into account by thermallycoupling all elements to a bath at temperature T_b. We present current-voltagecharacteristics of the coupled system and calculations of the linewidth of theradiation as a function of T_b. In the presence of a spatial gradient of thejunction parameters critical current and resistance, the linewidth deceaseswith increasing T_b, similar to the experimental observation.

Modeling the linewidth dependence of coherent terahertz emission from intrinsic Josephson junction stacks in the hot-spot regime