外场中一种钻石型等级晶格上Gaussian模型的临界性质

CRITICAL BEHAVIOR OF THE GAUSSIAN MODEL ON A DIAMOND-TYPE HIERARCHICAL LATTICE IN AN EXTERNAL MAGNETIC FIELD

利用重正化群变换方法，在一种特殊钻石型等级晶格上研究了有外场存在时Gaussian模型的临界性质。结果表明：与一般的钻石型等级晶格上的结果相比，在临界点上，格点近邻相互作用参量和外磁场都具有相同的形式，但临界指数不相同，这表明这两种晶格的铁磁性质属于不同的普适类。

Using the renormalization group method, the critical behavior of the Gaussian model is studied on a particular diamond-type hierarchical (or DH) lattice in an external magnetic field. It is found that the nearest-neighbor interaction and the magnetic field at the critical points are both identical with the results of this model on a family of the DH lattices; but the critical exponents are different from those ones on a family of the DH lattices. The result implies that the magnetic property of this model do not belong to a same universal class on the two kinds of lattices.