Delta-$T$ noise for fractional quantum Hall states at different filling factor.

The current fluctuations due to a temperature bias, $i.e.$, the delta-$T$ noise, allow to access properties of strongly interacting systems which cannot be addressed by the usual voltage-induced noise. In this contribution, I present our study of the excess delta-$T$ noise between two different fractional quantum Hall edge states, with filling factors ({\nu_$L$, $\nu_{R}$), coupled through a quantum point contact and connected to two reservoirs with different temperatures. We have solved exactly the problem for all couplings and for any set of temperatures in the specific case of an hybrid junction ({1/3, $1$). Moreover, we derive a universal analytical expression at the first order in the temperature mismatch, which connects the excess delta-$T$ noise to the equilibrium one for all generic pairs ({\nu_$L$, $\nu_{R}$) belonging to the Laughlin sequence. We expect that this linear term can be accessible in nowadays experimental set-ups. We describe the two opposite coupling regimes focusing on the strong one which correspond to a non-trivial situation. This analysis on delta-$T$ noise allows to better understand the transport properties of strongly interacting systems.