类金刚石装饰Bethe晶格上自旋1/2 Ising-Heisenberg模型重入的严格判据

Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice

The combination of an exact and Corner Transfer Matrix Renormalization Group (CTMRG) methods is used to study an influence of external electric and magnetic fields on existence of intriguing reentrant magnetic transitions in a coupled spin-electron model on a decorated square lattice. The two-dimensional (2D) decorated square lattice with localized nodal spins and delocalized electrons is taken into account. It was found that the competition among all involved interactions (the electron hopping, spin-spin and spin-electron interaction, external electric and magnetic fields) in combination with…

磁场中金刚石装饰正方晶格上伊辛-海森堡模型的热一阶相变、伊辛临界点与重入现象

Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field

本文通过装饰-迭代变换与蒙特卡洛模拟研究磁场中金刚石装饰正方晶格上伊辛-海森堡模型的热相变，精确揭示一阶相变面、伊辛临界点线及窄参数范围内的重入相变机制。

Order, Disorder, and Transitions in Decorated AKLT States on Bethe Lattices

Returning to one of the original generalizations of the AKLT state, we extend prior analysis on the Bethe lattice (or Cayley tree) to a variant with a series of $n$ spin-1 decorations placed on each edge. The recurrence relations derived for this system demonstrate that such systems are critical for coordination numbers $z=3^{n+1}$, demonstrating order for greater and disorder for lesser coordination number. We then generalize further, effectively interpolating between systems with different values of $n$, using two realizations, one isotropic under local $SU(2)$ transformations and one anisot…

修饰Bethe晶格上混合自旋Ising亚铁磁体的重入相变和多重补偿点

Reentrant phase transitions and multicompensation points in the mixed-spin Ising ferrimagnet on a decorated Bethe lattice

将修饰迭代变换与精确递推关系相结合，严格求解了修饰Bethe格上的混合自旋伊辛模型.临界线，补偿温度，总的和亚晶格磁化的精确结果得到一个精确的映射关系与相应的自旋1/2伊辛模型上一个简单的（未装饰）贝特晶格。次近邻相互作用和单离子各向异性对亚铁磁模型的磁性质的影响进行了研究。结果表明，总磁化强度可以表现出多重补偿现象，临界温度与单离子各向异性的关系基本上随Bethe晶格的配位数而变化.观察重入相变的可能性与底层贝特晶格的足够高的配位数有关。

自旋1/2 Ising-Heisenberg模型在修饰Bethe晶格上的磁化过程

Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices

将装饰迭代映射变换与精确递推关系相结合，精确求解了具有纵向磁场的类金刚石装饰Bethe晶格上自旋为1/2的Ising-Heisenberg模型.特别是，所考虑的模型的亚铁磁版本的基态和低温磁化过程进行了详细研究。三个不同的磁化情况下，两个连续的分数磁化平台被发现，而中间磁化平台可以对应于经典的亚铁磁自旋排列和/或场诱导的量子亚铁磁自旋排序没有任何经典的对应物。

类金刚石装饰平面晶格上自旋1/2和自旋1混合几何阻挫Ising-Heisenberg模型的相变

Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices

在广义装饰迭代变换的框架下，研究了自旋为1/2和自旋为1的混合Ising-Heisenberg模型在多个相互连接的菱形平面格子上的相变.主要的注意力是支付系统的研究有限温度相图的依赖于晶格拓扑结构。混合量子经典伊辛-海森堡模型的临界行为进行了比较，其半经典伊辛类似物的相关行为。结果表明，这两种模型的钻石状装饰平面晶格表现出惊人的临界行为，包括重入相变。晶格配位数越高，可以检测到越明显的再进入。