Energy transport in an integrable parafermionic chain via generalized hydrodynamics

Understand

We study energy transport in the integrable $\mathbb Z_3$ parafermionic chain using the partitioning protocol.

• By exploiting the Bethe-ansatz solution for the thermodynamics of the system, we develop a generalized hydrodynamic description of the non-equilibrium steady states, which we benchmark using numerical simulations based on matrix product states.
• The model features a low-energy conformal limit with central charge $c=4/5$, which affects the low-temperature energy current, as we explicitly show.
• Moreover, we exploit that, for energies close to the maximally excited state, the system is also critical and described by a conformal field theory with $c=1$.