[hal-01096005] Thermoelectric efficiency of critical quantum junctions

We derive the efficiency at maximal power of a scale-invariant (critical)quantum junction in exact form. Both Fermi and Bose statistics are considered.We show that time-reversal invariance is spontaneously broken. For fermions weimplement a new mechanism for efficiency enhancement above the Curzon-Ahlbornbound, based on a shift of the particle energy in each heat reservoir,proportional to its temperature. In this setting fermionic junctions can evenreach at maximal power the Carnot efficiency. The bosonic junctions at maximalpower turn out to be less efficient then the fermionic ones.



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