“…This is the case of the plethora of works descending only recently [3][4][5][6] from the earlier intuition that a temperature bias imposed across a Josephson junction (JJ) produces a phasedependent heat flow through the device [7]. We are dealing with the phase-coherent caloritronics [5,6,8,9], namely, an emerging research field from which fascinating Josephson-based devices, such as heat interferometers [3,10] and diffractors [4,11,12], heat diodes [13] and transistors [14], solid-state memories [15][16][17], microwave refrigerators [18], thermal engines [19], thermal routers [20,21], heat amplifier [22], and heat oscillator [23], were recently designed and actualized. Even the critical current I c of a Josephson tunnel junction, namely, the maximum dissipationless current that can flow through the device, deviates from the well-known Ambegaokar-Baratoff relation [24] in the presence of a thermal bias imposed across the junction, namely, as the superconducting electrodes reside at different temperatures, as portrayed in Fig.…”