Robin Steinigeweg, Tomaž Prosen
The Burnett coefficient B is investigated for transport in one-dimensional quantum many-body systems. Extensive numerical computations in spin-1/2 chains suggest a linear growth with time, B(t)t, for non-integrable chains exhibiting diffusive transport. For integrable spin chains in the metallic regime, on the other hand, we find a cubic growth with time, B(t)-D_m^2 t^3, with the proportionality constant being simply a square of the Drude weight D_m. The results are corroborated with additional studies in non-interacting quantum chains and in the classical limit of large-spin chains.
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http://arxiv.org/abs/1302.4879
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