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Universal sequence of ground states validating the classification of frustration in antiferromagnetic rings with a single bond defect

机译：基态的通用序列可验证具有单键缺陷的反铁磁环中的挫败度分类

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摘要

The sequence of 2s + 1 ground states in the frustrated antiferromagnetic rings with odd number n of local spins s resulting from a single bond defect strength is determined, and occurrence of the Lieb-Mattis energy level ordering, proven for the bipartite systems only, is confirmed for the rings in question. The sequence is universal, provides the theoretical basis for the recent classification of spin frustration in molecular magnets, and indicates that the Lieb-Mattis theorem (LMT) consequences exist for the nonbipartite rings. The states in the sequence are characterized by the total spin S fulfilling the constraint S ≤ s and are separated by 2s Kahn degenerate frustration points. The possible LMT consequences in other systems are discussed.
机译：确定了由单键缺陷强度导致的，具有奇数n个局部自旋s的受挫反铁磁环中2s +1个基态的序列，并且仅针对二分系统证明了李布-马蒂斯能级有序的发生是确认有问题的戒指。该序列是通用的，为分子磁体中自旋失意的最新分类提供了理论基础，并表明对非二分体环存在Lieb-Mattis定理（LMT）的后果。序列中的状态以满足约束S≤s的总自旋S为特征，并由2s Kahn简并挫折点分开。讨论了LMT在其他系统中可能产生的后果。

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