聖塔非研究所

摘要 We investigate the effect of quenched bond disord

2015-04-09 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We investigate the effect of quenched bond disorder on the two dimensional three color Ashkin Teller model, which undergoes a first order 相變 in the absence of impurities. This is one of t…

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  • 類型:已發表論文
  • 日期:2015-04-09

摘要

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin Teller model, which undergoes a first-order 相變 in the absence of impurities. This is one of the simplest and striking models in which quantitative numerical simulations can be carried out to investigate emergent 臨界性 due to disorder rounding of first-order transition. Utilizing extensive cluster 蒙地卡羅 simulations on large lattice sizes of up to 128 x 128 spins, each of which is represented by three colors taking values +/- 1, we show that the rounding of the first-order 相變 is an emergent 臨界性. We further calculate the correlation length critical exponent, nu, and the magnetization critical exponent, beta, from finite size 縮放律 analysis. We find that the critical exponents, nu and beta, change as the s

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