For the Rice-Mele pump, the heat transported in a symmetric adiabatic cycle is exactly zero even though the charge transported is quantized; at finite temperature both decrease and vanish at infinite temperature.
Ando ,\ @noop journal journal Journal of the Physical Society of Japan \ volume 82 ,\ pages 102001 ( year 2013 ) NoStop
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Charge and heat pumping in the Rice-Mele chain at finite temperature
For the Rice-Mele pump, the heat transported in a symmetric adiabatic cycle is exactly zero even though the charge transported is quantized; at finite temperature both decrease and vanish at infinite temperature.