Phase Transition of Ising Spin Glass Models in Two Dimensions : General Physics

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概要

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• We examine the phase transition of Ising spin glass models in two dimensions (2D), calculating complementary two quantities, i.e., the interface free energy <ΔF(T)>^^- and the Binder parameter gL , on finite L x L (L <_- 24) Iattices at very low temperatures T. We find that these quantities exhibit quite different features depending on the distribution of bonds. For the ±J distribution, <ΔF(T)>^^- at very low temperatures slightly increases with L and gL intersect at T 〜 0.25J. These results suggest a non-zero temperature phase transition, T_c ≠ O. On the other hand, for the Gaussian distribution, <ΔF(T)>^^- decreases as L increases even at T = O and gL for different L converges to unity at T = O. These results confirm the assumption of the zero temperature phase transition, T_c = O. Finite-size scaling analyses support those results. Thus we suggest that, in 2D, the existence of a finite-temperature phase transition depends on the distribution of bonds and it exists when the bond distribution is J.

• 社団法人日本物理学会の論文
• 2000-09-15

著者

• SHIRAKURA Takayuki

  Faculty of Humanities and Social Sciences, Iwate University

• Shirakura Takayuki

  Faculty Of Humanities And Social Science Iwate University

• Shirakura Takayuki

  Faculty Of Humanities And Social Sciences Iwate University

• Matsubara Fumitaka

  Department Of Applied Physics Faculty Of Engineering The University Of Tohoku

• SHIOMI Michinori

  Department of Applied Physics, Tohoku University

• Shiomi Michinori

  Department Of Applied Physics Tohoku University:(present)sony Corporation Core Technology And Networ

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