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无序阻挫二聚体磁体中的量子自旋玻璃临界性

Quantum spin-glass criticality in disordered frustrated dimer magnets

Darshan G. Joshi, Matthias Vojta

arXiv 2607.26151首次发表:更新:

AI 中文总结

该研究针对带键无序的三角晶格双层海森堡模型,用键算子理论变体计算热力学量与激发谱,揭示了无序阻挫二聚体磁体中量子自旋玻璃临界性的相关特性。

AI 中文摘要

我们研究莫特绝缘体在自旋玻璃态和无特征顺磁态之间的量子相变。具体而言,我们考虑带有键无序的三角晶格双层海森堡模型。纯净系统存在两个相:二聚体量子顺磁体和非共线反铁磁体,二者被一个量子临界点分隔。键无序通过偶极纹理的干涉作用破坏反铁磁相,形成自旋玻璃序,使系统呈现自旋玻璃相与二聚体相之间的量子相变。我们使用键算子理论的变体研究该相变附近的情况,计算热力学可观测量及激发谱。键无序会在相变附近引发强不均匀性,抑制非共线性,导致近临界量子自旋玻璃的玻璃性异常微弱。我们表征了具有强空间局域化倾向的低能激发,并追踪了跨越玻璃相的振幅(即希格斯)模的行为,发现其谱重因干涉效应被强烈抑制。

英文摘要

We study quantum phase transitions of Mott insulators between spin-glass and featureless paramagnetic phases. Specifically, we consider a triangular-lattice bilayer Heisenberg model with bond disorder. The clean system has two phases, a dimer quantum paramagnet and a non-collinear antiferromagnet, separated by a quantum critical point. Bond disorder destroys the antiferromagnetic phase via the interference of dipolar textures and results in spin-glass order, such that the system features a quantum phase transition between spin-glass and dimer phases. We study the vicinity of this transition using a variant of bond-operator theory and calculate thermodynamic observables as well as excitation spectra. Bond disorder leads to strong inhomogeneities near the transition which suppresses non-collinearities and leads to anomalously weak glassiness in the near-critical quantum spin glass. We characterize the low-energy excitations which have a strong tendency towards spatial localization, and we track the behavior of the amplitude (i.e. Higgs) mode across the glass phase whose spectral weight we find to be strongly suppressed due to interference effects.

Comments7 pages, 6 figures + Supp. Mat

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