摘要翻译:
研究了二维ANNNI模型的温度($T$)-挫折参数($Kappa$)相图中是否存在浮相(关联长度为无穷大,自旋-自旋关联随距离代数衰减)。为了识别这一相,我们寻找(i)有限尺寸效应突出,(ii)一些相关物理量发生剧烈变化的区域,这种变化随着系统尺寸的增大而变得更加尖锐。对于$\kappa<0.5$,低温相为铁磁相,我们研究了能量和磁化强度。当α>0.5$时,低温相为反相。我们研究了能量、层磁化强度、沿受挫方向运行的畴壁长度、沿受挫方向长度为2的畴截获数以及不接触上和/或下边界的畴壁数。与前人的一些研究一致,我们的最终结论是,漂浮相存在,如果有的话,也只是沿着一条线存在。
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英文标题:
《Floating Phase in 2D ANNNI Model》
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作者:
Anjan Kumar Chandra, Subinay Dasgupta
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We investigate whether the floating phase (where the correlation length is infinite and the spin-spin correlation decays algebraically with distance) exists in the temperature($T$) - frustration parameter ($\kappa$) phase diagram of 2D ANNNI model. To identify this phase, we look for the region where (i) finite size effect is prominent and (ii) some relevant physical quantity changes somewhat sharply and this change becomes sharper as the system size increases. For $\kappa < 0.5 $, the low temperature phase is ferromagnetic and we study energy and magnetization. For $\kappa > 0.5 $, the low temperature phase is antiphase and we study energy, layer magnetization, length of domain walls running along the direction of frustration, number of domain-intercepts that are of length 2 along the direction of frustration, and the number of domain walls that do not touch the upper and/or lower boundary. In agreement with some previous studies, our final conclusion is that, the floating phase exists, if at all, only along a line.
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PDF链接:
https://arxiv.org/pdf/705.0601


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