对称性破碎扰动理论对抗铁磁阶段中的大顺序
Renaud Garioud1,2, Fedor Šimkovic1,2, Riccardo Rossi3,4
1CPHT, CNRS, <a href="https://ror.org/05hy3tk52">Ecole Polytechnique</a>, Institut Polytechnique de Paris, 91128 Palaiseau, France.
Physical review letters
|July 1, 2024
概括
我们开发了一种用于磁相数值精确计算的新方法. 这使得哈伯德模型可以得到精确的结果,揭示了它的磁相图和关键行为.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子多体系统是一个量子多体系统.
- 计算物理 计算物理
背景情况:
- 哈伯德模型是凝聚物质物理学中的一个基本模型,描述了网格中的相互作用电子.
- 在强烈相关的系统中理解磁性排序和相位转换仍然是一个重大挑战.
- 之前的方法经常在磁性排序相内的数值精确计算中扎.
研究的目的:
- 引入连接决定数算法的新型自旋对称性破坏扩展.
- 为了使数值精确的计算直接在磁顺序阶段内.
- 为了研究3D立方哈伯德模型的磁相图和热力学.
主要方法:
- 扩展连接决定数算法,包括旋对称性破坏.
- 在反铁磁状态周围的系统性扰动扩张.
- 详细计算顺序参数和热力学量.
主要成果:
- 精确确定磁相图的3D立方Hubbard模型在半填充时.
- 通过顺序参数计算确定尼尔相界.
- 确定与海森堡普遍性类O ((3) 一致的关键行为.
- 在U/t=4.4的不同物理模式和交叉 (斯莱特-海森伯格) 的表征.
结论:
- 开发的方法允许在磁顺序阶段内进行准确的模拟.
- 这项研究为哈伯德模型的相位图和热力学提供了新的定量见解.
- 这些发现有助于更深入地了解量子磁力和相关电子系统中的关键现象.
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