Thermal transport through an exciton-condensate Josephson junction based on graphene double layers

We study the thermal transport through a temperature-biased exciton-condensate Josephson junction composed of two separated graphene double layers. The total heat current can be controlled by the temperatures of the two exciton condensates, which keep coherence even at higher temperatures. We find there are important physical effects indispensable in designing two thermal devices: One is the thermal rectifier with the rectification ratio up to 3.3 × 104%; the other is the thermal logic gate, and its on and off states are easily operated. These results are feasible to verify under the present experimental conditions.