触角空间方法用于热张量网络模拟的2D哈巴德模型的2D哈巴德模型
Qiaoyi Li1,2,3, Yuan Gao1,2, Yuan-Yao He3,4,5
1School of Physics, Beihang University, Beijing 100191, China.
Physical review letters
|June 16, 2023
概括
一种新的触点空间张量重规范化组 (tanTRG) 方法准确地模拟了2D哈巴德模型在有限温度下. 这种方法揭示了一些关键的物理学,比如金属的奇怪行为和d波超导.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子物理学的量子物理学
背景情况:
- 模拟二维 (2D) 哈伯德模型是量子和凝聚物质物理学中的一个重大挑战.
- 在有限温度下理解强烈相关的二维格子模型需要先进的计算技术.
研究的目的:
- 为2D哈巴德模型在有限温度下开发一个准确和高效的计算方法.
- 探索其他方法无法达到的低温模式和兴奋剂度.
主要方法:
- 触点空间张量重规范化组 (tanTRG) 方法的开发和应用.
- 使用键维度D来控制O ((D^3) 复杂度的准确性.
- 在圆柱体和方格格上模拟大规模的二维哈伯德系统.
主要成果:
- 对于半充满的哈巴德模型,与决定量量子蒙特卡洛 (DQMC) 达成了很好的协议.
- 探索了低温,有限的兴奋剂制度,识别了奇怪的金属和伪间隙行为.
- 计算了超导配对易感性,发现了接近最佳兴奋剂的显著d波响应.
结论:
- tanTRG 方法是用于 2D 格子模型的受良好的控制,高效和准确的张量网络技术.
- tanTRG允许在强烈相关的系统中探索复杂的现象.
- 该研究提供了对哈伯德模型中超导和新兴行为的洞察.
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