期刊
PHYSICAL REVIEW LETTERS
卷 119, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.080602
关键词
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资金
- ERC grant OMNES
- Slovenian Research Agency [N1-0025, P1-0044]
- DFG via the Emmy-Noether program [KA 3360/2-1]
We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in the canonical ensemble vanishes. A lower bound on the Green-Kubo diffusion constant is derived in terms of the curvature of the ideal transport coefficient, the Drude weight, with respect to the filling parameter. As an application, we explicitly determine the lower bound on the high-temperature diffusion constant in the anisotropic spin-1/2 Heisenberg chain for anisotropy parameters Delta >= 1, thus, settling the question of whether or not the transport is subdiffusive. Additionally, the lower bound is shown to saturate the diffusion constant for a certain classical integrable model.
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