Modeling Spin Dynamics in the Singlet Ground State Garnet Ho3Ga5O12
Joseph A. M. Paddison, Paromita Mukherjee, Xiaojian Bai, Zhiling Dun, Christopher R. Wiebe, Haidong Zhou, Jason S. Gardner, Martin Mourigal, Siân E. Dutton
Materials containing non-Kramers magnetic ions can show unusual quantum excitations because of the exact mapping of the two-singlet crystal-field ground state to a quantum model of Ising spins in a transverse magnetic field. Here, we model the magnetic excitation spectrum of garnet-structured Ho3Ga5O12, which has a two-singlet crystal-field ground state. We use a reaction-field approximation to explain published inelastic neutron-scattering data [Zhou et al., Phys. Rev. B 78, 140406(R) (2008)] using a three-parameter model containing the magnetic dipolar interaction, the two-singlet crystal-field splitting, and the nuclear hyperfine coupling. Our study clarifies the magnetic Hamiltonian of Ho3Ga5O12, reveals that the nuclear hyperfine interaction drives magnetic ordering in this system, and provides a framework for quantitative analysis of magnetic excitation spectra of materials with singlet crystal-field ground states.
In this paper, we investigate the low temperature magnetic properties of the rare-earth garnet compound Nd$_3$Ga$_5$O$_{12}$ in detail by means of magnetization, specific heat and magnetocaloric effect measurements. The magnetic thermal properties along with the crystal field calculations reveal that the Nd$^{3+}$ ions form into a frustrated hyper-kagome lattice with connected triangles have an Ising-like ground state with the easy axis along the local [100], [010] and [001] directions. Instead of a quantum spin liquid ground state, an antiferromagnetically ordered state is found below $T_{\ma…
Anisotropic physical properties of PrRhAl$_4$Si$_2$ single crystal a non-magnetic singlet ground state compound
我们已经生长出PrRhAl $_4$ Si $_2$的单晶，其以四方晶体结构结晶。从低温物理性质的测量，如，磁化率，磁化强度，热容和电阻率，我们发现，该化合物不显示任何磁有序低至70 mK。通过对样品磁化率和比热测量的晶场计算表明，PrRhAl $_4$ Si $_2$中Pr原子的9重简并$(2J+1)$能级在123 K处分裂为7个能级，其中有一个单重态基态和一个分离良好的激发二重态，总能级分裂能为320 K.
The singlet ground state magnetism in pyrochlore osmates Y$_2$Os$_2$O$_7$ and Ho$_2$Os$_2$O$_7$ is studied by DC and AC susceptibility, specific heat, and neutron powder diffraction measurements. Despite the expected non-magnetic singlet in the strong spin-orbit coupling (SOC) limit for Os$^{4+}$ ($5d^4$), Y$_2$Os$_2$O$_7$ exhibits a spin-glass (SG) ground state below 4 K with weak magnetism, suggesting possible proximity to a quantum phase transition between the non-magnetic state in the strong SOC limit and the magnetic state in the strong superexchange limit. Ho$_2$Os$_2$O$_7$ has the same …
Singlet ground state in the spin-1/2 dimer compound Sr3Cr2O8
本文报道了Sr_3Cr_2O_8和Sr_3V_2O_8的磁化率和比热随温度变化的测量结果。居里-维斯拟合Sr 3Cr 2 O 8的高温磁化率数据表明，Cr原子处于稀有的Cr^5+（自旋S = 1/2）价态，正如成分所预期的那样。基态为自旋单重态，与磁性三重态的激发能隙Δ/kB = 61.9（1）K，并推测二聚体间的弱耦合为6（2）K. Sr 3V 2 O 8的比热和磁化率的测量表明，在110 K的相变，这是一个明显的结构转变。
Rare earth garnets are an exciting playground for studying the exotic magnetic properties of the frustrated hyperkagome lattice. Here we present a comprehensive study of the single ion and collective magnetic properties of the garnet Er$_3$Ga$_5$O$_{12}$. Using inelastic neutron scattering, we find a crystal field ground state doublet for Er$^{3+}$ with strong Ising anisotropy along local [100] axes. Magnetic susceptibility and heat capacity measurements provide evidence for long-range magnetic ordering with $T_N$~$=$~0.8~K, and no evidence for residual entropy is found when cooling through th…
Generalization of the singlet sector valence bond loop algorithm to antiferromagnetic ground states with total spin $S_{tot}=1/2$
我们推广了Sandvik、Beach和Evertz（A. W. Sandvik，Phys. Rev. 95，207203（2005）; K. S. D.海滩和A. W. Sandvik，Nucl.Phys.B750，142（2006）; A. W. Sandvik和H. G. Evertz，arXiv：0807.0682，unpublished.）反铁磁哈密顿量的基态在有限尺寸系统中具有总自旋$S_{tot} = 1/2$的情况。我们解释了各种基态的期望值可以通过在单重态的情况下开发的估计的泛化计算，并说明了该方法的功率通过计算基态的自旋纹理和键能在一个$L \times L$海森堡反铁磁体与$L$奇数和自由边界。
We present the synthesis and a detailed investigation of structural and magnetic properties of polycrystalline NaVOAsO$_4$ by means of x-ray diffraction, magnetization, electron spin resonance (ESR), and $^{75}$As nuclear magnetic resonance (NMR) measurements as well as density-functional band structure calculations. Temperature-dependent magnetic susceptibility, ESR intensity, and NMR line shift could be described well using an alternating spin-$1/2$ chain model with the exchange coupling $J/k_{\rm B}\simeq 52$ K and an alternation parameter $α\simeq 0.65$. From the high-field magnetic isothe…
Non-Fermi Liquid Behavior of U-impurity with $f^2$-Singlet Ground State
用Wilson的数值重整化群方法证明，即使对于具有$f^2$单重态基态的U杂质，也会出现非费米液体（NFL）行为，并据此解释了R $_{1-x}$ U $_x$ Ru $_2$ Si $_2$（R=Th，Y和La，$x\le 0.07$）的所有令人困惑的行为.由于近藤单重态和晶体电场单重态基态之间的平衡，存在一个不稳定的NFL不动点。在参数空间的宽范围内，系统的NFL行为表现为实验所能达到的温度范围内的瞬态现象。结果的电阻率，磁化率和索末菲系数的温度依赖性与磁场和无磁场再现的行为观察到的Th $_{1-x}$ U $_x$ Ru $_2$ Si $_2$。R $_{1-x}$ U $_x$ Ru $_2$ Si $_2$（R=Y和La）的不太反常的性质可以沿着相同的方案理解，只要这些化合物具有不同的参数组。
Random singlet physics in exchange disordered 2D triangular YbCu$_{1.14}$Se$_2$
Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）；National High Magnetic Field Laboratory, Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室国家高磁场实验室）；National High Magnetic Field Laboratory（国家高磁场实验室）
Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb$_2$Cu$_3$SnF$_{12}$
本文研究了Rb $_2$ Cu $_3$ SnF $_{12}$的晶体结构和磁性。该化合物由角共享的CuF $_{6}$八面体的可果美层组成，与适当的可果美层相比，具有2a x 2a的放大单元。Rb $_2$ Cu $_3$ SnF $_{12}$在磁性上被描述为具有四种相邻交换作用的$S$ =1/2修正的可果美反铁磁体。从磁化率和高场磁化强度测量，它被发现，基态是一个无序的单重态与自旋间隙，从最近的理论预测。精确对角化的12个站点的可果美集群进行分析的磁化率，和个人的交换相互作用进行了评估。
We investigated electron phases in the $f^2$-configuration system with the $Γ_1$ crystalline-electric-field (CEF) ground state in cubic symmetry. An extended three-orbital periodic Anderson model, which consists of $j=5/2$ states, is evaluated by using the rotationally invariant slave boson formalism. As a result, we found three phases at zero temperature: the $Γ_1$ CEF singlet phase, and two kinds of Fermi liquid (FL). One of the FL arises owing to the presence of the $Γ_5$ CEF state, while the other forms a quasi-degenerated CEF state. All these phases are separated by first-order transition…
Magnetic properties of the geometrically frustrated S=1/2 antiferromagnets, La2LiMoO6 and Ba2YMoO6, with the B-site ordered double perovskite structure: Evidence for a Collective Spin Singlet Ground State
We introduce a quantum spin-1/2 model hosting two exact plaquette singlet ground states in extended parameter regimes. There is an exact phase transition between both phases, at which the system has an extensive ground-state degeneracy. Further, the model exhibits an extensive number of conserved quantities, which allow the prediction of additional phases. We exploit this feature and explore the phase diagram in detail for two specific parameter regimes. The model is based solely on Heisenberg interactions and seems sufficiently simple to be realized in quantum materials. A general scheme to d…
Quantum Spin Singlet Ground State with Large Excitation Gap in the S = 3/2 quasi-1D van der Waals materials MoX3 (X = I, Br)
University of California, Los Angeles（加州大学洛杉矶分校）；California NanoSystems Institute, University of California, Los Angeles（加州纳米系统研究所，加州大学洛杉矶分校）；University of California, Riverside（加州大学河滨分校）；Auburn University（奥本大学）；University of Georgia（佐治亚大学）；Oak Ridge National Laboratory（橡树岭国家实验室）
本研究发现 MoX3 (X = I, Br) 晶体同时具有量子自旋单态基态和经典 Néel 有序，通过实验与理论计算证实了其一维链内与三维链间耦合的相互作用，为探索原子链极限下的量子磁性提供了独特平台。
As materials with suppressed ordering temperatures and enhanced ground state entropies, frustrated magnetic oxides are ideal candidates for cryogenic magnetocaloric refrigeration. While previous materials design has focused on tuning the magnetic moments, their interactions, and density of moments on the lattice, there has been relatively little attention to frustrated lattices. Prior theoretical work has shown that the magnetocaloric cooling rate at the saturation field is proportional to a macroscopic number of soft mode excitations that arise due to the classical ground state degeneracy. Th…
Quadrupolar Singlet Ground State of Praseodymium in a Modulated Pyrochlore
用中子散射和EXAFS研究了Pr $_{2-x}$ Bi $_x$ Ru $_2$ O $_7$的结构和磁性. Pr的基态近似为二重态，第一激发态为单重态。该整体晶场能级方案类似于本文也报道的金属Pr $_2$ Ir $_2$ O $_7$。虽然B位（Ru）是完全有序的，但A位（Pr/Bi）的情况并非如此。Pr-O2键长的分布表明Pr环境即使对于$x=0$也是不均匀的。表面上由于Bi $^{3+}$上的6s孤对，Bi环境高度无序。相应地，我们发现非Kramers双重基态简并，否则预计Pr的烧绿石结构被解除，从而产生一个四极单基态与空间变化的能隙。对于$x=0$，低于T $_N$，Ru亚晶格反铁磁有序，传播矢量\textbf{k} =（0，0，0），对于Y $_2$ Ru $_2$ O $_7$。没有秩序与Pr子晶格观察到下降到100 mK。Pr $_{2-x}$ Bi $_x$ Ru $_2$ O $_7$的低能磁响应具有与Pr准二重态基态的不均匀分裂相关的宽谱磁激发。对于$x=0$（$x=0.97$），光谱与温度相关（无关）。看来与Bi合金化相关的无序增强了不均匀Pr晶场能级分裂，使得位间相互作用对于$x=0.97$变得无关。A位的结构复杂性可以反映在B位钌在Néel相中的滞后均匀磁化中。
The study of interacting spin systems is of fundamental importance for modern condensed matter physics. On frustrated lattices, magnetic exchange interactions cannot be simultaneously satisfied, and often give rise to competing exotic ground states. The frustrated 2D Shastry-Sutherland lattice realized by SrCu2(BO3)2 is an important test to our understanding of quantum magnetism. It was constructed to have an exactly solvable 2-spin dimer singlet ground state within a certain range of exchange parameters and frustration. While the exact dimer state and the antiferromagnetic order at both ends …
The kagome Heisenberg antiferromagnet formed by frustrated spins arranged in a lattice of corner-sharing triangles is a prime candidate for hosting a quantum spin liquid (QSL) ground state consisting of entangled spin singlets. But the existence of various competing states makes a convincing theoretical prediction of the QSL ground state difficult, calling for experimental clues from model materials. The kagome lattice materials Zn-barlowite ZnCu$_{3}$(OD)$_{6}$FBr and herbertsmithite ZnCu$_{3}$(OD)$_{6}$Cl$_2$ do not exhibit long range order, and they are considered the best realizations of t…
We examine the ground-state phase diagram and thermal phase transitions in a plaquettized fully frustrated bilayer spin-1/2 Heisenberg model. Based on a combined analysis from sign-problem free quantum Monte Carlo simulations, perturbation theory and free-energy arguments, we identify a first-order quantum phase transition line that separates two competing quantum-disordered ground states with dominant singlet formations on inter-layer dimers and plaquettes, respectively. At finite temperatures, this line extends to form a wall of first-order thermal transitions, which terminates in a line of …
We study two-electron states confined in two coupled quantum dots formed by a short-range potential in a two-dimensional topological insulator. It is shown that there is a fairly wide range of the system parameters, where the ground state is a tripletlike state formed by a superposition of two spin-polarized states. Outside this range, the ground state is a singlet. A transition between the singlet and triplet states can be realized by changing the potential of the quantum dots. The effect is caused by a significant change in the energies of the Coulomb repulsion and the exchange interaction o…
Theoretical models of the spin-orbital liquid (SOL) FeSc$_2$S$_4$ have predicted it to be in close proximity to a quantum critical point separating a spin-orbital liquid phase from a long-range ordered magnetic phase. Here, we examine the magnetic excitations of FeSc$_2$S$_4$ through time-domain terahertz spectroscopy under an applied magnetic field. At low temperatures an excitation emerges that we attribute to a singlet-triplet excitation from the SOL ground state. A three-fold splitting of this excitation is observed as a function of applied magnetic field. As singlet-triplet excitations ar…
While the internal structure of Abelian topological order is well understood, how to characterize the non-Abelian topological order is an outstanding issue. We propose a distinctive scheme based on the many-body Chern number matrix to characterize non-Abelian multicomponent fractional quantum Hall states. As a concrete example, we study the many-body ground state of two-component bosons at the filling faction $ν=4/3$ in topological flat band models. Utilizing density-matrix renormalization group and exact diagonalization calculations, we demonstrate the emergence of non-Abelian spin-singlet fr…
