  Violation of the Wiedemann-Franz (WF) law in a 2D topological insulator due
to Majorana bound states (MBS) is studied via the Lorenz ratio in the
single-particle picture. We study the scaling of the Lorenz ratio in the
presence and absence of MBS with inelastic scattering modeled using a Buttiker
voltage-temperature probe. We compare our results with that seen in a quantum
dot junction in the Luttinger liquid picture operating in the topological Kondo
regime. We explore the scaling of the Lorentz ratio in our setup when either
inelastic scattering occurs with both phase and momentum relaxation or via
phase relaxation alone. This scaling differs from that predicted by the
Luttinger liquid picture for both uncoupled and coupled Majorana bound states
and depends on the nature of inelastic scattering.
