离散海森堡铁磁自旋链的传输特性
The Transmission Property of the Discrete Heisenberg Ferromagnetic Spin Chain
摘要：
提出了一种通过几何方法显示离散海森堡铁磁自旋链（DHF）传输特性的机制。借助于一个离散的非线性类薛定谔方程（它是DHF的离散规范等效），我们证明了在透射问题中透射系数的确定总是困难的。给出了一种确定性算法和一般的随机算法。通过采用各种随机算法，揭示了DHF的一种新的大概率不透射行为的不变周期现象。
英文摘要：
We present a mechanism for displaying the transmission property of the discrete Heisenberg ferromagnetic spin chain (DHF) via a geometric approach. By the aid of a discrete nonlinear Schrödinger-like equation which is the discrete gauge equivalent to the DHF, we show that the determination of transmitting coefficients in the transmission problem is always bistable. Thus a definite algorithm and general stochastic algorithms are presented. A new invariant periodic phenomenon of the non-transmitting behavior for the DHF, with a large probability, is revealed by an adoption of various stochastic algorithms.
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