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We study how topological phases evolve in the Kane-Mele-Kondo lattice atfinite temperatures and obtain the topological Doniach phase diagram. Inparticular, we find an intriguing crossover behavior induced by the interplaybetween the topological structure and electron correlations; the topologicalproperties are restored by temperature effects. This restoration can beobserved in the behavior of the bulk as well as the edge. In the bulk, weobserve an increase of the spin-Hall conductivity at finite temperatures, whileit is zero in the low temperature region. At the edge, we observe gapless edgemodes emerging with increasing temperature.

Restoration of topological properties at finite temperatures in a heavy-fermion system