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arXiv · 0801.2060

The Transmission Property of the Discrete Heisenberg Ferromagnetic Spin Chain

Qing Ding·Wei Lin
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Abstract

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 Schr\"odinger-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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Qing Ding, Wei Lin. 2008-01-14. The Transmission Property of the Discrete Heisenberg Ferromagnetic Spin Chain. https://doi.org/10.1063/1.2976036

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