连续海森堡自旋链中的隐拓扑结构
Hidden topological structure in the continuous Heisenberg spin chain
摘要:
为了研究经典一维海森堡模型的自旋组态,我们将代表自旋的归一化单位矢量映射到空间曲线上。我们证明了该构型的总手性是一个守恒量。当空间曲线形成一个纽结时,这就为海森堡模型定义了一类新的拓扑自旋构型。
英文摘要:
In order to study the spin configurations of the classical one-dimensional Heisenberg model, we map the normalized unit vector, representing the spin, to a space curve. We show that the total chirality of the configuration is a conserved quantity. When the space curve forms a knot, this defines a new class of topological spin configurations for the Heisenberg model.
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