Chiral heat transport in driven quantum Hall and quantum spin Hall edge states

Abstract

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu =1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both systems are locally driven by applying an ac voltage in one of the contacts. By weakly coupling them to a third reservoir, the transport of the generated heat is studied in two different ways: i) when the third reservoir acts as a thermometer the local temperature is sensed, and ii) when the third reservoir acts as a voltage probe the time-dependent local voltage is sensed. Our results indicate a chiral propagation of the heat along the edge in the quantum Hall case and in the quantum spin Hall case (if the injected electrons are spin polarized). We also show that a similar picture is obtained if instead of heating by ac driving the system is put in contact to a stationary reservoir at a higher temperature. In both cases the temperature profile shows that the electrons along the edge thermalize with the closest "upstream" reservoir.

8 pages, 3 figures

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• Probing the energy reactance with adiabatically driven quantum dots
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Enhanced thermoelectric response in the fractional quantum Hall effect
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Defining the effective temperature of a quantum driven system from current-current correlation functions
• Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
• Photo-assisted heat current and Peltier coefficient in a metal/dot/metal junction