论文标题
旋转的磁化高原 - $ \ mathbf {\ frac {1} {2}} $ system在5/7偏斜的梯子上
Magnetization plateaus of spin-$\mathbf{\frac{1}{2}}$ system on a 5/7 skewed ladder
论文作者
论文摘要
磁化高原是低维自旋系统中挫败感最引人注目的表现。我们介绍了通过交替融合五元和七元环获得的引人入胜的自旋1/2偏斜梯子系统中磁化高原的数值研究。该系统在$ M = 1/4 $，$ 1/2 $和$ 3/4 $时展示了三个重要的高原，与Oshikawa-Yamanaka-Affleck条件一致。我们的数值和扰动分析表明，在没有磁场的情况下，可以通过三个弱耦合的单线二聚体和两个自由旋转来近似基态。随着施加磁场的增加，二聚体逐渐变成具有较大能量差距的三胞胎，从而引起稳定的磁化高原。有限温度的研究表明，$ M = 1/4 $和$ 1/2 $高原是强大的，并且由于热噪声而迅速缩小了$ M = 3/4 $高原。高原末端的尖端遵循代数方形根对$ b $的依赖。
Magnetization plateaus are some of the most striking manifestations of frustration in low-dimensional spin systems. We present numerical studies of magnetization plateaus in the fascinating spin-1/2 skewed ladder system obtained by alternately fusing five- and seven-membered rings. This system exhibits three significant plateaus at $m = 1/4$, $1/2$ and $3/4$, consistent with the Oshikawa-Yamanaka-Affleck condition. Our numerical as well as perturbative analysis shows that the ground state can be approximated by three weakly coupled singlet dimers and two free spins, in the absence of a magnetic field. With increasing applied magnetic field, the dimers progressively become triplets with large energy gaps to excited states, giving rise to stable magnetization plateaus. Finite-temperature studies show that $m=1/4$ and $1/2$ plateaus are robust and survive thermal fluctuations while the $m=3/4$ plateau shrinks rapidly due to thermal noise. The cusps at the ends of a plateau follow the algebraic square-root dependence on $B$.
