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arXiv 1502.04515cond-mat.str-el
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两条腿SU(2n)自旋梯:低能有效场论方法

Two-leg SU(2n) spin ladder: A low-energy effective field theory approach

P. Lecheminant, A. M. Tsvelik

摘要:

我们提出了一个场论分析模型的两个SU(2n)不变的磁链耦合的一般相互作用保持时间反转和反演对称性。与SU(2)不变量的情况相反,这种两腿自旋梯的零温相图不包含拓扑相。当n>1时,不同的波矢和基态简并度,只有广义价键固相是稳定的。特别是,我们发现了一个阶段,这是由一群2n自旋放在SU(2n)单重态。当n=3时,这种团簇相与双阱光晶格中具有SU(6)出射对称性的镱超冷原子有关。

英文摘要:

We present a field theory analysis of a model of two SU(2n)-invariant magnetic chains coupled by a generic interaction preserving time reversal and inversion symmetry. Contrary to the SU(2)-invariant case the zero-temperature phase diagram of such two-leg spin ladder does not contain topological phases. Only generalized Valence Bond Solid phases are stabilized when n>1 with different wave vectors and ground-state degeneracies. In particular, we find a phase which is made of a cluster of 2n spins put in an SU(2n) singlet state. For n=3, this cluster phase is relevant to ytterbium ultracold atoms, with an emergent SU(6) symmetry, loaded in double well optical lattice.

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