Chinese Journal of Physics[V35-No.6]

VOLUME 35, NUMBER 6, PART II

DECEMBER 1997

Self-Avoiding Loops on the Two-Layer Square Lattice and the Square Lattice with Diagonal Bonds
Yueh-Ching Hsiao and Keh-Ying Lin Department of Physics, National Tsing Hua University, Hsinchu, Taiwan 300, R.O.C. (Received October 9, 1997)
We have calculated the series expansions of the generating functions for self-avoiding loops on the two-layer square lattice and the square lattice with diagonal bonds up to 26 and 20 steps respectively by computer. The connective constants, the critical amplitudes and the critical exponents are estimated by the ratio method. Our results indicate that self-avoiding loops on both lattices belong to the same universality class as the ordinary square lattice such that the exponents have the universal value of =0.5.

Self-Avoiding Loops on the Two-Layer Square Lattice and
the Square Lattice with Diagonal Bonds

Yueh-Ching Hsiao and Keh-Ying Lin

Department of Physics, National Tsing Hua University,
Hsinchu, Taiwan 300, R.O.C.

(Received October 9, 1997)

We have calculated the series expansions of the generating functions for self-avoiding loops on the two-layer square lattice and the square lattice with diagonal bonds up to 26 and 20 steps respectively by computer. The connective constants, the critical amplitudes and the critical exponents are estimated by the ratio method. Our results indicate that self-avoiding loops on both lattices belong to the same universality class as the ordinary square lattice such that the exponents have the universal value of

=0.5.

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