In frustrated magnetism, the empirically found quantum-to-classical correspondence (QCC) matches the real-space static susceptibility pattern of a quantum spin-$1/2$ model with its classical counterpart computed at a certain elevated temperature. This puzzling relation was observed via bold line diagrammatic Monte Carlo simulations in dimensions two and three. The matching was within error bars and seemed valid down to the lowest accessible temperatures $T$ about an order of magnitude smaller than the exchange coupling $J$. Here, we employ resummed spin diagrammatic perturbation theory to show analytically that the QCC breaks weakly at fourth order in $J/T$ and provide the approximate mapping between classical and quantum temperatures. Our treatment further reveals that QCC is an indication of the surprising accuracy with which static correlators can be approximated by a simple renormalized mean-field form. We illustrate this for all models discussed in the context of QCC so far, including a recent example of the $S=1$ material $\mathrm{K}_2\mathrm{Ni}_2(\mathrm{SO}_4)_3$. The success of the mean-field form is traced back to partial diagrammatic cancellations.
Nonconventional Spin Glass Transition in a Chemically Ordered Pyrochlore
本文报道了几何阻挫烧绿石Tb $_{2}$ Mo $_{2}$ O $_{7}$,$T$ $_{g}$ $\simeq$ 24 K中不寻常的自旋玻璃性质的研究。分析的非线性部分的直流和复杂的磁化率,附近的玻璃化转变制度,表明存在一个统计分布的弛豫时间在短程有序铁磁簇。此外,磁自旋在低于玻璃化转变温度时没有被充分冻结;显然,这是非线性磁化率的静态临界指数的非平衡标度行为的原因。我们的报告有望为理解具有短程铁磁相互作用的挫火辉石的冻结特性提供新的思路。
Field-Induced Up-Up-Down State and Frustrated Magnetism in a Non-Kramers Triangular Antiferromagnet
Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology(南方科技大学量子科学和工程研究院);International Quantum Academy(国际量子学院);Tsung-Dao Lee Institute, Shanghai Jiao Tong University(上海交通大学李政道研究所);School of Physics and Astronomy, Shanghai Jiao Tong University(上海交通大学物理与天文学院);School of Physics and Electronics, Henan University(河南大学物理与电子学院)
Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
我们从理论上表明,自旋和轨道自由度的烧绿石氧化物Y2 Mo 2 O 7,这是免费的淬火无序,可以表现出同时的玻璃化转变,作为动力学随机性工作。自旋和轨道的相互作用是由选择轨道的Jahn-Teller晶格畸变介导的,然后产生从铁磁到反铁磁的各种自旋交换相互作用。我们的蒙特卡罗模拟检测到的弛豫时间的幂律发散和磁和介电非线性极化率的负发散,解决了长期困扰的起源无无序自旋玻璃。
Signature of spin liquid state in a frustrated 3D antiferromagnet
Indian Institute of Technology Madras(印度马德拉斯理工学院);ISIS Facility, Rutherford Appleton Laboratory(卢瑟福阿普尔顿实验室ISIS设施);R. B. College (A Constituent Unit of Lalit Narayan Mithila University, Darbhanga)(R.B.学院(拉尔·纳亚南·米提拉大学达班加 constituent unit));University of Johannesburg(约翰内斯堡大学);Laboratoire Léon Brillouin, CEA, CNRS, Université Paris-Saclay(莱昂·布里渊实验室,法国原子能和替代能源委员会,法国国家科学研究中心,巴黎萨克雷大学)
Field Driven Quantum Criticality in the Spinel Magnet ZnCr$_2$Se$_4$
我们报告详细的直流和交流磁化率,比热,和热导率测量的受抑磁体ZnCr $_2$ Se $_4$。在低温下,随着磁场的增加,这种尖晶石材料经历了一系列从螺旋自旋态到螺旋自旋态再到全极化态的自旋态转变。我们的结果表明从螺旋自旋态到全极化态存在直接的量子相变。当系统接近量子临界时,我们发现自旋的量子涨落具有非常规的$T^2$依赖的比热和与温度无关的热输运平均自由程等行为.我们完成了完整的相图ZnCr $_2$ Se $_4$下的外部磁场,并提出了挫折的量子临界扩展密度的临界模式的可能性,占不寻常的低能量激发附近的临界。我们的研究结果表明,ZnCr $_2$ Se $_4$是一个罕见的例子,三维磁体表现出非常规性能的场驱动量子临界。
High-temperature series expansion of the dynamic Matsubara spin correlator
Institut für Theoretische Physik, Universität Tübingen(蒂宾根大学理论物理研究所);Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München(慕尼黑大学物理系与阿诺德·索末菲理论物理中心);Munich Center for Quantum Science and Technology (MCQST)(慕尼黑量子科学与技术中心)
Unifying Dirac Spin Liquids on Square and Shastry-Sutherland Lattices via Fermionic Deconfined Criticality
Universität Würzburg(维尔茨堡大学);Flatiron Institute(平顿研究所);Massachusetts Institute of Technology(麻省理工学院);Indian Institute of Technology Madras(马德拉斯印度理工学院);Harvard University(哈佛大学)
Absence of Spin Frustration in the Kagomé Layers of Cu2+ Ions in Volborthite Cu3V2O7(OH)2x2H2O and Observation of the Suppression and Re-entrance of Specific Heat Anomalies in Volborthite Under External Magnetic Field