在拓光子和声系统中的状态表面密度的高效算法
Yi-Xin Sha1,2, Ming-Yao Xia3, Ling Lu4
1Department of Physics and HK Institute of Quantum Science and Technology, The University of Hong Kong, Hong Kong, China. yxsha@hku.hk.
Nature computational science
|November 14, 2025
概括
研究人员开发了两种有效的方法,即循环还原和转移矩阵,用于研究光子学和声学中的拓表面状态. 与传统的超级细胞方法相比,这些技术可以更快,更准确地分析边界效应.
科学领域:
- 拓的光子学和声学.
- 凝聚物质物理学 凝聚物质物理学
- 材料科学 是一种材料科学.
背景情况:
- 拓光子学和声学操纵表面的光和声音.
- 超级细胞技术是标准的,但在计算上昂贵,并且对分析表面状态有限.
- 区分表面状态与散装状态和相反的边界是当前方法的挑战.
研究的目的:
- 开发高效的计算方法来分析半无限系统中的拓表面状态.
- 在计算成本和准确性方面克服超级细胞技术的局限性.
- 为了能够与实验测量进行直接比较,以更快地进行材料勘探和设备设计.
主要方法:
- 循环减小方法:对单个单元细胞的哈密尔顿式进行代反转.
- 转移矩阵方法:对一对单元细胞的转移矩阵的自身分析.
- 各种光子和声学晶体上的数值基准.
主要成果:
- 循环还原和转移矩阵方法都有效地使用状态的表面密度来识别边界模式.
- 与超级细胞技术相比,这些方法显著降低了计算成本,并提高了速度.
- 拟议的计算方案准确地描述了不同配置的拓表面状态.
结论:
- 循环还原和转移矩阵方法为研究拓表面状态的超级细胞技术提供了高效和准确的替代方案.
- 这些方法有助于探索新型拓人工材料和设计先进的拓设备.
- 开发的计算方案加速了拓现象在光子学和声学中的发现和应用.
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