  We report our recent predictions on the quantum Nernst effect, a novel
thermomagnetic effect in the quantum Hall regime. We assume that, when the
chemical potential is located between a pair of neighboring Landau levels, edge
currents convect around the system. This yields theoretical predictions that
the Nernst coefficient is strongly suppressed and the thermal conductance is
quantized. The present system is a physical realization of the non-equilibrium
steady state.
