论文标题
2腿各向异性旋转梯子系统的基态特性和精确的热力学
Ground state properties and exact thermodynamics of a 2-leg anisotropic spin ladder system
论文作者
论文摘要
我们研究了一个令人沮丧的两腿自旋梯子，该梯子与替代的各向同性海森堡和伊辛·朗格交换相互作用，而沿腿和对角线的相互作用是蛋白型。梯子中的所有相互作用本质上都是抗铁磁的，并引起系统的挫败感。该模型显示了四个有趣的量子阶段：（i）条纹rung feromagnetic（srfm），（ii）带有边缘单元（SRFM-e）的条纹rung rung fermagnetic，（iii）各向异性抗铁磁性（AAFM）和（aafm）和（iv）条纹条纹Free free ferromagnetic（slfm）阶段。我们为该模型构造了量子相图，并表明在条纹rung ferromagnet（SRFM）中，相同类型的sublattice旋转（$ s $或$ s $或$σ$ -type旋转）是在相同方向上对齐的。尽管在各向异性抗铁磁阶段中，$ s $和$σ$ type的旋转都彼此抗磁性，而沿着rung沿着梯级形式最接近$ S $旋转，而两种方向的单元债券，而两个最接近的$σ$σ$σ$σ$ spins a Iss bond bonges bond。在大的海森堡rung交换相互作用限制中，每条腿上的旋转在铁磁上是对齐的，但是不同腿上的旋转在抗铁磁性上是对齐的。还使用传输矩阵方法计算了不同阶段的传输矩阵方法，例如$ cv（t）$，$χ（t）$和$ s（t）$，例如$ cv（t）$，$χ（t）$，$ cv（t）$，$ cv（t）$。可以从$χ（t）$和$ cv（t）$曲线中注意到SRFM和SLFM中的磁性间隙。
We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in nature and induce frustration in the system. This model shows four interesting quantum phases: (i) stripe rung ferromagnetic (SRFM), (ii) stripe rung ferromagnetic with edge singlet (SRFM-E), (iii) anisotropic antiferromagnetic (AAFM), and (iv) stripe leg ferromagnetic (SLFM) phase. We construct a quantum phase diagram for this model and show that in stripe rung ferromagnet (SRFM), the same type of sublattice spins (either $S$ or $σ$-type spins) are aligned in the same direction. Whereas, in anisotropic antiferromagnetic phase, both $S$ and $σ$-type of spins are anti-ferromagnetically aligned with each other, two nearest $S$ spins along the rung form an anisotropic singlet bond whereas two nearest $σ$ spins form an Ising bond. In large Heisenberg rung exchange interaction limit, spins on each leg are ferromagnetically aligned, but spins on different legs are anti-ferromagnetically aligned. The thermodynamic quantities like $Cv(T)$, $χ(T)$ and $S(T)$ are also calculated using the transfer matrix method for different phase. The magnetic gap in the SRFM and the SLFM can be notice from $χ(T)$ and $Cv(T)$ curves.
