Universality Class around the SU(3) Symmetric Point of the Dimer-Trimer Spin-1 Chain

s=1/2横向XX链中二聚体和三聚体的涨落

Dimer and trimer fluctuations in the s=1/2 transverse XX chain

给出了横向磁场中一维s=1/2 XX模型（$\parallel z$）的动态二聚体和三聚体结构因子的精确结果，并与已知的动态自旋结构因子的精确结果进行了讨论.在Jordan-Wigner表象的框架下，二聚体涨落算符的可达谱仅限于两个费米子的激发，而三聚体涨落算符的可达谱包括两个费米子和四个费米子的激发.的光谱边界，软模式，和奇异性结构的四费米子激发连续探测的动态三聚体结构因子进行检查和比较，与相应的属性的两个费米子激发连续探测的动态二聚体和横向自旋结构因子。

Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain

Quantum spin-1/2 antiferromagnetic Heisenberg trimerized chain with strong intradimer and weak monomer-dimer coupling constants is studied using the novel many-body perturbation expansion, which is developed from the exactly solved spin-1/2 Ising-Heisenberg diamond chain preserving correlations between all interacting spins of the trimerized chain unlike the standard perturbation scheme developed on the grounds of noninteracting spin monomers and dimers. The Heisenberg trimerized chain shows the intermediate one-third plateau, which was also observed in the magnetization curve of the polymeric…

kagome晶格由直线三元体完全覆盖的熵

Entropy of full covering of the kagome lattice by straight trimers

研究kagome晶格由直线三元体完全覆盖的熵，通过与六边形晶格二元体覆盖的对应关系，证明两者的熵相等并计算其值。

具有无限多吸收态的相互作用单体-二聚体模型

Interacting Monomer-Dimer Model with Infinitely Many Absorbing States

我们研究了一个修改后的版本的相互作用单体二聚体（IMD）模型，有无穷多个吸收（IMA）状态。不同于所有其他先前研究的IMA状态的模型，吸收状态可以被分成两个等价的组，这两个等价的组被动态地分隔开无限远。蒙特卡罗模拟表明，该模型与具有两个等效吸收态的IMD模型一样，属于有向Ising普适类。该模型是第一个不属于定向渗流（DP）普适类的IMA状态模型。DP通用类可以通过两种方式恢复，即，通过动态地连接两个等价群或通过在两个群之间引入一个破缺场。

Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain

We investigate critical phenomena of a spin-1 chain in the vicinity of the SU(3) symmetric critical point, which we already specified in the previous study. We numerically diagonalize a Hamiltonian combining the bilinear-biquadratic (BLBQ) Hamiltonian with the trimer Hamiltonian. We then discuss the numerical results based on the conformal field theory (CFT) and the renormalization group. As a result, we firstly verify that the critical point found in our previous study is the tri-critical point among the Haldane phase, trimer phase, and the trimer liquid (TL) phase. Secondly, with regard to t…

$S=1/2$扭曲金刚石链的基态--$\rm Cu_3 Cl_6 (H_2 O)_2 \cdot 2H_8 C_4 SO_2$模型

Ground state of an $S=1/2$ distorted diamond chain - model of $\rm Cu_3 Cl_6 (H_2 O)_2 \cdot 2H_8 C_4 SO_2$

本文研究了三聚体$S=1/2$量子海森堡链$\rm Cu_3 Cl_6 (H_2 O)_2 \cdot 2H_8 C_4 SO_2$的模型哈密顿量的基态，其中最近观察到了非磁性的基态。该模型由堆叠的三聚体组成，并且具有三种自旋之间的耦合常数：三聚体内耦合常数$J_1$和三聚体间耦合常数$J_2$和$J_3$。所有这些常数都被假定为反铁磁的。利用分析方法和物理考虑，我们证明了在$\tilde J_2 - \tilde J_3$平面上存在三个相（$\tilde J_2 \equiv J_2/J_1$，$\tilde J_3 \equiv J_3/J_1$）：二聚体相，自旋流体相和亚铁磁相。二聚体相是由阻挫效应引起的。在二聚体相中，在二重简并基态和第一激发态之间存在激发能隙，这解释了在$\rm Cu_3 Cl_6 (H_2 O)_2 \cdot 2H_8 C_4 SO_2$中观察到的非磁性基态。利用Lanczos算法，从有限体系的数值对角化数据中得到了$ \tilde J_2 - \tilde J_3$平面上的相图。