Quantization of the anyonic spectral density of heat currents

It is well known that the thermal conductance of Abelian integer and fractional quantum Hall (QH) states is quantized and is determined by the net and total chirality of downstream and upstream modes. We furthermore demonstrate that the finite frequency noise of the heat current of the Abelian particle and holelike states is quantized when the system size is smaller than the thermal equilibration length. It is shown that the finite frequency noise of the heat current is a universal and independent physical quantity, which provides information about the microscopic structure of edge excitations.