合并的波茨时钟模型:二维和三维的代数和传统的多结构的多临界排序
E Can Artun1,2, A Nihat Berker1,2,3
1TÜBITAK Research Institute for Fundamental Sciences, Gebze, Kocaeli 41470, Turkey.
Physical review. E
|September 19, 2023
概括
这项研究探讨了一个复杂的旋转系统,揭示了五个不同的有序阶段和一个无序阶段. 这些阶段被各种相位过渡和多关键点分开,创建了一个丰富的相位图.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 量子多体系统是一个量子多体系统.
背景情况:
- 了解复杂的旋转系统对于开发新材料和新技术至关重要.
- 研究具有竞争互动的系统,如波特斯和时钟模型,揭示了奇特的阶段和过渡.
- 重规范化组技术是绘制相互作用系统相位图的强大工具.
研究的目的:
- 为了研究一个自旋系统的全球相图,同时进行 permutation-symmetric Potts 和 spin-rotation-symmetric 时钟相互作用.
- 识别和描述系统中存在的不同有序和无序阶段.
- 在d=2和d=3空间维度中映射相位过渡和将这些相位界限的多临界点.
主要方法:
- 再规范化组 (RG) 解决方案使用改进的米格达尔-卡达诺夫近似.
- 包含有效空缺的等级格子模型.
- 计算所研究的自旋系统的全局相位图.
主要成果:
- 识别了五种不同的有序相:传统上有序的铁磁,四极,反铁磁,以及代数上有序的反铁磁,反四极相.
- 混乱阶段的特征. 混乱阶段的特征.
- 绘制界限这些阶段的第一阶段和第二阶段过渡的映射.
- 识别各种多临界点,包括反转的双临界点,零温度的双临界点,三临界点,二次分叉点和零温度的高度退化的多临界点.
结论:
- 研究的旋转系统表现出丰富的相图拓,具有多样化的有序相和过渡.
- 波茨和时钟相互作用之间的相互作用导致复杂的新兴现象.
- 使用的重规范化组方法为理解这些复杂的系统提供了一个强大的框架.
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