Mesoscopic Heat 'Multiplier' - A Quantum Hall device revealing correlated States

Local measurements of the heat flux in Quantum Hall devices can differ from the expected equilibrium heat flux due to interactions. We model a simple mesoscopic device, consisting of ohmic reservoirs connected via chiral edge states. In an internal edge state of the device, the interaction between the reservoirs leads to extra correlations adding to the, locally measured, equilibrium heat flux. We investigate how these correlated states can be detected, discuss their thermometry and how one could reveal their nature experimentally through interference experiments or cross correlation measurements.