Interplay Between Electron Over-Heating and ac Josephson Effect
  We study the response of high-critical current proximity Josephson junctions to a microwave excitation. Electron over-heating in such devices is known to create hysteretic dc voltage-current characteristics. Here we demonstrate that it also strongly influences the ac response. The interplay of electron over-heating and ac Josephson dynamics is revealed by the evolution of the Shapiro steps with the microwave drive amplitude. Extending the resistively shunted Josephson junction model by including a thermal balance for the electronic bath coupled to phonons, a strong electron over-heating is obtained. 
Alessandro De Cecco, K\'evin Le Calvez, Benjamin Sac\'ep\'e, Clemens   Winkelmann, Herv\'e Courtois
cond-mat.mes-hall cond-mat.supr-con