Gaussian model with triplet-spin interactions on the Sierpinski gasket lattice
Jie Liu, Xiang-Mu Kong, Li Yong-Ping, Huang Jia-Yin, (1)青岛大学理工学院物理系,青岛 266071; (2)曲阜师范大学物理系,曲阜 273165; (3)曲阜师范大学物理系,曲阜 273165;北京师范大学物理系和理论物理研究所,北京 100875 · Acta Physica Sinica · 2004
Using the renormalization-group transformation and cumulant expansion technique, the Gaussian model with two-spin interactions and triplet-spin interactions on the Sierpinski gasket lattice is studied, and its fixed points and critical exponents are obtained. Compared with the case of only two-spin interactions, the fixed points and critical exponents have changed. The results show that the fixed points and critical exponents are all dependent on triplet-spin interactions in the cases with or without external field.