  The one-dimensional Rice-Mele lattice consisting of two-site unit cells
enables topological charge pumping at low enough temperatures. We show here
that energy pumping is feasible in this system. We analyze energy polarization
using the second-quantization formalism and connect it to intercell energy
current by the relevant continuity equation. Following this formulation, we
numerically evaluate the energy current pumped in an adiabatic cycle when the
system parameters vary periodically and slowly with time. Unlike the pumped
charge, the pumped energy is entirely temperature-independent at half filling.
The global Berry phase for all bands and the related topological phase
transitions during the pumping cycle account for the energy pumping. The
present study paves the way for manipulating energy current without electric
and thermal biases.
