We describe why Ising spin chains with competing interactions in $\rm SrHo_2O_4$ segregate into ordered and disordered ensembles at low temperatures ($T$). Using elastic neutron scattering, magnetization, and specific heat measurements, the two distinct spin chains are inferred to have Néel ($\uparrow\downarrow\uparrow\downarrow$) and double-Néel ($\uparrow\uparrow\downarrow\downarrow$) ground states respectively. Below $T_\mathrm{N}=0.68(2)$~K, the Néel chains develop three dimensional (3D) long range order (LRO), which arrests further thermal equilibration of the double-Néel chains so they remain in a disordered incommensurate state for $T$ below $T_\mathrm{S}= 0.52(2)$~K. $\rm SrHo_2O_4$ distills an important feature of incommensurate low dimensional magnetism: kinetically trapped topological defects in a quasi$-d-$dimensional spin system can preclude order in $d+1$ dimensions.
Spin freezing and dynamics in Ca_{3}Co_{2-x}Mn_{x}O_{6} (x ~ 0.95) investigated with implanted muons: disorder in the anisotropic next-nearest neighbor Ising model
Realization of the Axial Next-Nearest-Neighbor Ising model in U$_3$Al$_2$Ge$_3$
本文报道了U $_3$ Al $_2$ Ge $_3$的小角中子散射（SANS）测量和理论模型。对SANS数据的分析表明，在$T_{\mathrm{N}}=63$ ~K处发生了向正弦调制磁有序的相变，为二阶相变，在$T_{\mathrm{c}}=48$ ~K处发生了向铁磁有序的一阶相变。在正弦调制的磁相位（$T_{\mathrm{c}} < T < T_{\mathrm{N}}$），我们发现了一个戏剧性的变化，由三个因素，在有序波矢量作为温度的函数。这些观察都表明，U $_3$铝$_2$锗$_3$是一个密切实现的三维轴向次近邻伊辛模型，一个原型框架，用于描述相称的不相称的相变在挫折磁铁。
Kitaev-Ising-$J_1$-$J_2$ model: a density matrix renormalization group study
Moscow Institute of Physics and Technology（莫斯科物理技术学院）；Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences（俄罗斯科学院理论与应用电动力学研究所）
