  Two dimensional topological superconductors with chiral edge modes are
predicted to posses a quantized thermal Hall effect proportional to the Chern
number, exactly half that for chiral topological insulators. However not much
work has been done in identifying the quantized heat conductance in the
literature, even for some of the standard models of topological
superconductivity. Here we introduce a model based on a proximity induced
superconducting Bismuth bilayer, and directly calculate the thermal Hall
conductance of this lattice model. This model serves as a demonstration of the
state of the art possible in such a calculation, as well as introducing an
interesting paradigmatic topological superconductor with a rich phase diagram.
We demonstrate the quantized thermal Hall plateaus in several different
topological phases, and compare this to numerical calculations of the Chern
number, as well as analytical calculations of the Chern number's parity
invariant. We demonstrate that it is possible to get a reasonable topological
phase diagram from the quantized thermal Hall calculations. The technique used
can be applied to wide range of models directly in real space.
