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外场中一种钻石型等级晶格上Gaussian模型的临界性质
引用本文:孔祥木,张红香.外场中一种钻石型等级晶格上Gaussian模型的临界性质[J].青岛大学学报(自然科学版),2000,13(3):65-67.
作者姓名:孔祥木  张红香
作者单位:曲阜师范大学物理系!曲阜 273165,曲阜师范大学物理系!曲阜 273165,曲阜师范大学物理系!曲阜 273165
基金项目:山东省自然科学基金!(批准号:Q99A04),曲阜师范大学校级项目资助课题。
摘    要: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,在临界点点上,格点近邻相互作用和外人有相同的形式,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。

关 键 词:外磁场  钻石型等级晶格  临界性质  高斯模型

CRITICAL BEHAVIOR OF THE GAUSSIAN MODEL ON A DIAMOND-TYPE HIERARCHICAL LATTICE IN AN EXTERNAL MAGNETIC FIELD
KONG Xiang-mu,ZHANG Hong-xiang,FAN Xi-hui.CRITICAL BEHAVIOR OF THE GAUSSIAN MODEL ON A DIAMOND-TYPE HIERARCHICAL LATTICE IN AN EXTERNAL MAGNETIC FIELD[J].Journal of Qingdao University(Natural Science Edition),2000,13(3):65-67.
Authors:KONG Xiang-mu  ZHANG Hong-xiang  FAN Xi-hui
Abstract: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.
Keywords:Gaussian model  magnetic field  diamond-type hierarchical lattice  enormalization group  critical behavior
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