具有XYZ Heisenberg和四次Ising相互作用的自旋1/2 Ising-Heisenberg模型的弱泛临界行为和量子临界点
Weak-universal critical behavior and quantum critical point of the exactly soluble spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg and quartic Ising interactions
摘要：
利用广义星方变换精确求解了具有XYZ海森堡对相互作用和两种不同Ising四次相互作用的自旋1/2 Ising-Heisenberg模型，并与一般满足Baxter零场（对称）条件的正方形格子上的八顶点模型建立了精确的映射等价关系.所研究的模型表现出显着的弱普适临界行为与两个显着的翅膀的临界线沿临界指数连续变化的相互作用参数。临界线的两翼在一个非常特殊的无限级量子临界点处汇合，这个临界点可以用临界指数发散来表征。在量子临界点附近观察重入相变的可能性与XYZ海森堡对相互作用中交换各向异性的相对强度有关。
英文摘要：
Spin-1/2 Ising-Heisenberg model with XYZ Heisenberg pair interaction and two different Ising quartic interactions is exactly solved with the help of the generalized star-square transformation, which establishes a precise mapping equivalence with the corresponding eight-vertex model on a square lattice generally satisfying Baxter's zero-field (symmetric) condition. The investigated model exhibits a remarkable weak-universal critical behavior with two marked wings of critical lines along which critical exponents vary continuously with the interaction parameters. Both wings of critical lines merge together at a very special quantum critical point of the infinite order, which can be characterized through diverging critical exponents. The possibility of observing reentrant phase transitions in a close vicinity of the quantum critical point is related to a relative strength of the exchange anisotropy in the XYZ Heisenberg pair interaction.
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