A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE

HUANG Wu-Qun; CHEN Tian-Lun; ZHONG Chao-Wu; LI Zhi-Bing

Chinese Physics C> 1987, Vol. 11> Issue(1) : 38-43

A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE

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Abstract：
The method developed by D.J.E.Callaway is applied to Ising model on a two-dimensional triangular lattice. A fixed point and critical exponent are found. The results are consistent with one of the exact theories very well. Obviously this method show superiority to that obtained by some other approximate methods. The method is also applied to Z₂ gauge theory on a 2-dimensional triangular lattice, no fixed points are found, in agreement with other methods.

References

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S. -K. Ma, Phys. Rev. Lett., 37(1976), 461.[2] R. H. Swendsen, Phys. Rev., B20(1979), 2080 Phys. Rev. Lett., 52(1984), 1165.[3] A. Hasenfcatz, P. Hasenfratz, U. Heller and F. Karsch, Phys. Lett., 1438(1984), 193.[4] C. B. Lang, Phys. Lett., 155B(1985), 399.[5] D. J. E. Callaway and R. Petronzio, Phys. Lett., 1398(1984), 189; Phys, Lett., 145B(1984), 381.[6] H. E. Stahley,物理学进展, 5(1985), 1.[7] 陈天斋, 黄五群, 郑希特, 高能物理与核物理, (1985), 41.

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HUANG Wu-Qun, CHEN Tian-Lun, ZHONG Chao-Wu and LI Zhi-Bing. A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE[J]. Chinese Physics C, 1987, 11(1): 38-43.

HUANG Wu-Qun, CHEN Tian-Lun, ZHONG Chao-Wu and LI Zhi-Bing. A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE[J]. Chinese Physics C, 1987, 11(1): 38-43. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE

Corresponding author: HUANG Wu-Qun,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-02-05

Abstract: The method developed by D.J.E.Callaway is applied to Ising model on a two-dimensional triangular lattice. A fixed point and critical exponent are found. The results are consistent with one of the exact theories very well. Obviously this method show superiority to that obtained by some other approximate methods. The method is also applied to Z₂ gauge theory on a 2-dimensional triangular lattice, no fixed points are found, in agreement with other methods.