Heat transport through Quantum Hall edges: tunneling vs capacitve coupling with the reservoirs

H. AITA; L. ARRACHEA; C. NAÓN; E. FRADKIN

Buenos Aires

Conferencia; 27th International Conference on Low Temperature Physics; 2014

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the reservoirs. The first one corresponds to filling ν=1 and tunneling coupling to the reservoirs. The second one corresponds to integer or fractional filling of the sequence ν=1/m (with m odd), and capacitive coupling to the reservoirs. In both cases we solve the problem by means of non-equilibrium Green function formalism. We show that heat propagates chirally along the edge in the two setups. The difference between the different types of coupling of the Hall system to reservoirs is studied in detail.