  The possibility of using quantum Hall systems for thermoelectric energy
conversion is investigated. It is shown that the massive degeneracy and the
metallicity of a partially-filled Landau level enable thermoelectric cooling
and power generation with unprecedented efficiency at low temperature. The
figure of merit is explicitly derived for a transverse thermoelectric device
using the $\nu=0$ quantum Hall state of Dirac materials at charge neutrality,
where due to electron-hole symmetry electrical Hall effect vanishes but
thermoelectric Hall effect peaks.

Mesoscale and Nanoscale Physics