  We propose a three-qubit setup for the implementation of a variety of quantum
thermal machines where all heat fluxes and work production can be controlled.
An important configuration that can be designed is that of an absorption
refrigerator, extracting heat from the coldest reservoir without the need of
external work supply. Remarkably, we achieve this regime by using only two-body
interactions instead of the widely employed three-body interactions. This
configuration could be more easily realised in current experimental setups. We
model the open-system dynamics with both a global and a local master equation
thermodynamic-consistent approach. Finally, we show how this model can be
employed as a heat valve, in which by varying the local field of one of the two
qubits allows one to control and amplify the heat current between the other
qubits.
