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The efficiency and cooling power of a two-terminal thermoelectricrefrigerator are analyzed near the limit of vanishing dissipation (idealsystem), where the optimal efficiency is the Carnot one, but the cooling powerthen unfortunately vanishes. This limit, where transport occurs only via asingle sharp electronic energy, has been referred to as "strong coupling" or"the best thermoelectric". It follows however, that "parasitic" effects thatmake the system deviate from the ideal limit, and reduce the efficiency fromthe Carnot limit, are crucial for the usefulness of the device. Among theseparasitics, there are: parallel phonon conduction, finite width of theelectrons' transport band and more than a single energy transport channel. Interms of a small parameter characterizing the deviation from the ideal limit,the efficiency and power grow linearly, and the dissipation {\emquadratically}. The results are generalized to the case of broken time-reversalsymmetry, and the major nontrivial changes are discussed. Finally, the recentuniversal relation between the thermopower and the asymmetry of the dissipationbetween the two terminals is briefly discussed, including the small dissipationlimit.

Efficiency and dissipation in a two-terminal thermoelectric junction, emphasizing small dissipation