Monte Carlo Renormalization Group Analysis of Lattice $φ^4$ Model in $D=3,4$

Details Monte Carlo Renormalization Group Analysis of Lattice $φ^4$ Model in $D=3,4$ Monte Carlo Renormalization Group Analysis of Lattice $φ^4$ Model in $D=3,4$

1999-05-14

arxiv.org/abs/cond-mat/9905215v4

Phys.Rev. E61 (2000) 5924-5929

Physics

Condensed Matter

Statistical Mechanics

13 pages, revtex, 7 figures. v1:Submitted to PRE. v2:considerably reduced redundancy of presentation. v3:final version to appe

Scientific paper

10.1103/PhysRevE.61.5924

We present a simple, sophisticated method to capture renormalization group flow in Monte Carlo simulation, which provides important information of critical phenomena. We applied the method to $D=3,4$ lattice $\phi^4$ model and obtained renormalization flow diagram which well reproduces theoretically predicted behavior of continuum $\phi^4$ model. We also show that the method can be easily applied to much more complicated models, such as frustrated spin models.

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