Heat conducting states in weakly coupled quantum spin systems

In a normal heat conducting states, we observe a nonzero temperature gradient. However, the temerature gradient often vanishes in simple theoretical models. It is commonly belierved that normal heat conducting states are realized in non-integrable systems, but there are some exceptions. In this talk, we consider heat conducting steady states in weakly coupled quantum spin 1/2 chains using a perturbation theory. We show a simple condition for the existence of nonzero temperature gradient, which is independent of the integrability of the system.

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