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Chinese Physics Letters

Spin Transport Properties of the One-Dimensional Heisenberg Chain： Bethe-Ansatz Solution with Twist Boundary Conditions

张秋兰, 顾世建

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

基于一个维的海森堡 modelunder 扭曲边界条件的 Bethe-Ansatz 答案，我们学习带由的坚持的电流的系列 thelow 躺激动的状态。尽管纺纱汗衫 andspin 三位字节刺激的精力系列是退化的，他们的坚持的当前的系列是相当不同的，这被显示出。

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The spin-1/2 Heisenberg chain coupled to a spin-S impurity moment with anti-periodic boundary condition is studied via the off-diagonal Bethe ansatz method. The twisted boundary breaks the U(1) symmetry of the system, which leads to that the spin ring with impurity can not be solved by the conventional Bethe ansatz methods. By combining the properties of the R-matrix, the transfer matrix, and the quantum determinant, we derive the T–Q relation and the corresponding Bethe ansatz equations. The residual magnetizations of the ground states and the impurity specific heat are investigated. It is found that the residual magnetizations in this model strongly depend on the constraint of the topological boundary condition, the inhomogeneity of the impurity comparing with the hosts could depress the impurity specific heat in the thermodynamic limit. This method can be expand to other integrable impurity models without U(1) symmetry.