2D金属的有限纠缩放
Quinten Mortier1, Ming-Hao Li2, Jutho Haegeman1
1Department of Physics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium.
Physical review letters
|January 12, 2024
概括
我们将有限纠缩放扩展到二维金属系统,以系统大小和费米表面形状找到纠的缩量. 这为使用张量网络近似金属状态提供了一种新方法.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子信息理论 量子信息理论
背景情况:
- 有限纠缩放是理解量子多体系统的强大工具.
- 之前的研究集中在一维无间隙模型上.
研究的目的:
- 将有限纠缩放扩展到具有费米表面的二维系统.
- 为了研究金属状态的张量网络近似值.
主要方法:
- 在二维系统中对纠缩放的分析.
- 使用张量网络状态近似.
- 考虑到利布-舒尔茨-马蒂斯定理的含义.
主要成果:
- 在金属状态的最佳张量网络近似中,纠变量尺度为S∼Llog[ξf(L/ξ).
- 缩放函数f (x) 取决于费米表面的形状.
- 缩放模式可以通过数值可处理的债券尺寸来实现.
结论:
- 有限纠缩放为研究二维金属状态提供了一种可行的方法.
- 张量网络近似为理解复杂量子状态提供了一条途径.
- 利布-舒尔茨-马蒂斯定理对这些在分数填充时的近似有意义.
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