Drude权曲率下的扩散常数下界
Lower Bounding Diffusion Constant by the Curvature of Drude Weight
摘要：
我们建立了一个弹道和扩散输运系统中的典型系综的弹道贡献消失之间的一般连接。格林-久保扩散常数的下限是根据理想输运系数的曲率，Drude权重，相对于填充参数。作为应用，我们明确地确定了各向异性自旋1/2海森堡链中各向异性参数$Δ\geq 1$的高温扩散常数的下限，从而解决了输运是否是亚扩散的问题.此外，下界饱和的扩散常数，为一定的经典可积模型。
英文摘要：
We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in 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 $Δ\geq 1$, thus settling the question whether the transport is sub-diffusive or not. Addi- tionally, the lower bound is shown to saturate the diffusion constant for a certain classical integrable model.
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