论文标题

边界对数校正对一维自旋1/2链的动力相关函数的校正

Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains

论文作者

Schneider, Imke, Mandal, Ipsita, Matveeva, Polina, Strassel, Dominik, Eggert, Sebastian

论文摘要

幂律描述了一维自旋链中的渐近动力学相关功能。相应的指数表征了不同的体积和边界关键行为。我们为对数贡献的对数贡献贡献了新的结果。对数的指数,$λ= 1 $,是使用重新归一化组技术得出的。我们通过与数值量子蒙特卡洛数据进行比较来确认我们的分析结果。

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power-laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present novel results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, $λ=1$, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

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