We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by noncollinear long-range order with nonzero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange couplings. A single bond defect is known to induce a dipolar texture in the spin background independent of microscopic details. Using general analytical arguments as well as large-scale simulations for the classical triangular-lattice Heisenberg model, we show that any finite concentration of such defects destroys long-range order for spatial dimension $d\le 2$, in favor of a glassy state whose correlation length in $d=2$ is exponentially large for small randomness. Our results are relevant for a wide range of layered frustrated magnets.

中文翻译：

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非共线二维反铁磁体中随机键无序破坏远距离有序

我们考虑了沮丧的海森堡反铁磁体，其清洁极限基态的特征是具有非共线的长程顺序和非零矢量手性，并研究了淬灭键合紊乱的影响，即随机交换耦合。已知单键缺陷会在旋转背景中诱导偶极结构，而与微观细节无关。使用一般的解析论据以及经典三角格海森堡模型的大规模模拟，我们表明，此类缺陷的任何有限集中都会破坏空间维数的长程有序$d\le 2$，有利于玻璃态，其相关长度为 $d=2$对于较小的随机性，呈指数增长。我们的结果与各种分层的受挫磁体有关。