几何构形对量子自旋系统临界性质的影响

EFFECT OF GEOMETRY STRUCTURE ON CRITICAL PROPERTIES OF QUANTUM SPIN SUSTEM

将离散路径积分表示(DPIR)下的有效场重整化群(EFRG)技巧推广应用于平面三角晶格上量子自旋横向Ising模型的相变研究,在这个方法中,注意区分了两种具有相同配位数而不同几何构形的晶体,并且考虑了起伏的影响,在二阶累积量近似下,得到了接近于精确解的临界值。

The method that combines the effective - field renormalization group (EFRG) with the discretized path - integral representation (DPIR) is extenged to study phase transition of the transverse Ising model (TIM) in a quantum - spin system on the plane triangular lattice(PTL). In this method,we distinguish differences between lattices of the same coordination number but of different structures and take the effect of fluctation correlations. We obtaine critical values determined to 2nd order cumulant term in good agree with those from the exact solution.