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Realization of higher Wess-Zumino-Witten models in spin chains

机译：自旋链中更高Wess-Zumino-Witten模型的实现

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摘要

Building on the generalization of the exactly dimerized Majumdar-Ghosh ground state to arbitrary spin S for the Heisenberg chain with a three-site term (S_(i-1) • S_i)(S_i • S_(i+1)) + H.c., we use density-matrix renormalization group simulations and exact diagonalizations to determine the nature of the dimerization transition for S = 1, 3/2, and 2. The resulting central charge and critical exponent are in good agreement with the SU(2)_(k=2S) Wess-Zumino-Witten values c = 3k/(2 + k) and η = 3/(2 + k). Since the three-site term that induces dimerization appears naturally if exchange interactions are calculated beyond second order, these results suggest that SU(2)_(k＞1) Wess-Zumino-Witten models might finally be realized in actual spin chains.
机译：基于精确二聚化的Majumdar-Ghosh基态到具有三位项（S_（i-1）•S_i）（S_i•S_（i + 1））+ Hc的海森堡链的任意自旋S的泛化，我们使用密度矩阵重整化组模拟和精确对角化来确定S = 1、3 / 2和2的二聚化转变的性质。所得的中心电荷和临界指数与SU（2）_（ k = 2S）Wess-Zumino-Witten值c = 3k /（2 + k）和η= 3 /（2 + k）。由于如果交换相互作用的计算超出二阶，则诱导二聚化的三位点自然会出现，因此这些结果表明SU（2）_（k＞ 1）Wess-Zumino-Witten模型最终可能会在实际的自旋链中实现。

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