EFFECTIVE ACTIONS FOR SPIN LADDERS
EFFECTIVE ACTIONS FOR SPIN LADDERS
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旋转梯的有效行动
DOI：
10.1103/physrevlett.78.2457
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发表时间：
1996
影响因子：
8.6
通讯作者：
M. Roncaglia
中科院分区：
文献类型：
--
作者：
S. Dell'Aringa;E. Ercolessi;G. Morandi;P. Pieri;M. Roncaglia
导出了具有任意数支脚的AFM海森堡自旋梯连续极限有效作用的路径积分表达式。该映射映射到$O(3)$非线性$\sigma$-模型（NL$\sigma$M）上，该模型添加了一个拓扑项，该拓扑项仅对奇腿梯和半奇整数自旋有效。我们导出了双腿梯的有效NL$\sigma$M的参数和自旋间隙的行为。
We derive a path-integral expression for the effective action in the continuum limit of an AFM Heisenberg spin ladder with an arbitrary number of legs. The map is onto an $O(3)$ nonlinear $\sigma$-model (NL$\sigma$M) with the addition of a topological term that is effective only for odd-legged ladders and half-odd integer spins. We derive the parameters of the effective NL$\sigma$M and the behaviour of the spin gap for the case of even-legged ladders.