# Heat transport in an open transverse-field Ising chain - Condensed Matter > Disordered Systems and Neural Networks

Abstract: The heat conduction in an open transverse-field Ising chain is studied byusing quantization in the Fock space of operators in the weak coupling regimes,i.e. the coupling is much smaller than the transverse field. Thenon-equilibrium steady state is obtained for large size systems coupled toMarkovian baths at its ends. The ballistic transport is observed in the uniformchain and normal diffusion in the random-exchange chain. {In addition, theballistic-diffusive transition is found at the intermediate disorder regime.}The thermal conductivity $\kappa$ is also calculated in the low and hightemperature regimes. It is shown that $\kappa$ decays as $\kappa\sim T^{-2}$ athigh temperatures.

Author: Ke-Wei Sun, Chen Wang, Qing-Hu Chen

Source: https://arxiv.org/