CM Seminar: Theory of heat transport in the fractional quantum Hall effect
Abstract: The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. Quantized values of the thermal Hall conductance has only recently been measured experimentally in integer quantum Hall (IQH) and FQH regimes,
These finding include observation of half integer quantized heat conductance at filling 5/2. In this talk I will briefly describe the experimental observations, a phenomenological theory of the heat transport on the edge that take into consideration the effect of heat transfer among the edge modes themselves and between the edge modes and the bulk, and a theory of Disorder-Induced Half-Integer Thermal Hall Conductance.
Relevant papers:
1. Nature 545, 75 (2017) Observed Quantization of Anyonic Heat Flow
Authors: Mitali Banerjee, Moty Heiblum, Amir Rosenblatt, YO, Dima E. Feldman, Ady Stern, Vladimir Umansky
2. Nature 559, 205 (2018) Observation of half-integer thermal Hall conductance
Authors: Mitali Banerjee, Moty Heiblum, Vladimir Umansky, Dima E. Feldman, YO, Ady Stern
3. Phys. Rev. Lett. 121, 026801 (2018) Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
Authors: David F. Mross, YO, Ady Stern, Gilad Margalit, Moty Heiblum
4. Phys. Rev. B 99, 041302 (2019) Phenomenological theory of heat transport in the fractional quantum Hall effect
Authors: Amit Aharon, YO, Ady Stern