  Small quantum absorption refrigerators have recently attracted renewed
attention. Here we present a missing design of a two-qubit fridge, the main
feature of which is that one of the two machine qubits is itself maintained at
a temperature colder than the cold bath. This is achieved by 'reversing' the
couplings to the baths compared to previous designs, where only a transition is
maintained cold. We characterize the working regime and the efficiency of the
fridge. We demonstrate the soundness of the model by deriving and solving a
master equation. Finally, we discuss the performance of the fridge, in
particular the heat current extracted from the cold bath. We show that our
model performs comparably to the standard three-level quantum fridge, and thus
appears appealing for possible implementations of nano thermal machines.
