XXZ链强各向异性极限下的精确反常电流涨落
Exact anomalous current fluctuations in the strong-anisotropy limit of the XXZ chain
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中文总结 AI 辅助
本研究通过非局域映射和自旋-电荷分离，精确求解了XXZ链强各向异性极限下的自旋电流矩生成函数，发现长时间电流服从M-Wright非高斯分布，并揭示了自旋关联的扩散行为。
中文摘要 AI 辅助
我们研究了折叠XXZ链的自旋电流涨落，该链描述了XXZ链的强各向异性极限。我们得到了无限温度下时间积分自旋电流的矩生成函数的精确表达式。长时间渐近分析表明，重标度的时间积分电流收敛于由M-Wright函数描述的非高斯分布。该推导依赖于到一维t-0模型的非局域映射及其精确的自旋-电荷分离。通过扩展这种方法，我们还证明了在相邻两个位点上求和的自旋动力学关联函数在长时间下表现出扩散高斯轮廓。
英文摘要
We study spin-current fluctuations of the folded XXZ chain, which describes the strong-anisotropy limit of the XXZ chain. We obtain an exact expression for the moment-generating function of the time-integrated spin current at infinite temperature. A long-time asymptotic analysis establishes that the rescaled time-integrated current converges to a non-Gaussian distribution described by the M-Wright function. The derivation relies on a nonlocal map to the one-dimensional t-0 model and its exact spin-charge separation. By extending this approach, we also show that the dynamical correlation function of the spins summed over two adjacent sites exhibits a diffusive Gaussian profile at long times.
发表机构
- Institute of Science Tokyo（东京科学大学）
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