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物理学报  2002 

Critical behavior of the Gaussian model on X fractal lattices
X分形晶格上Gauss模型的临界性质

Keywords: X fractal lattice,renormalization group,Gaussian model,critical behavior
X分形晶格
,重整化群,Gauss模型,临界性质

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Abstract:

Using the real-space renormalization group transformation method, critical behavior of the Gaussian model on two-dimension and %d%-dimension (%d%>2) X fractal lattices is studied. The results show that, at the critical point, the nearest-neighbor interaction parameter can be expressed in the form %K+*=b q-i/q-i(q-i% is the coordination number of site %i, b q-i% is the Gaussian distribution constant of site %i%), which is the same as that of other fractal lattices, and that the critical exponent %v% is associated with the space dimension %d% (or the fractal dimension %d%-f). They are much different from those of the Ising model on X fractal lattices.

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