在Su-Schrieffer-Heeger类模型中,边缘状态行为具有周期调节的跳跃模式
1AKPC Mahavidyalaya, Bengai, West Bengal 712611, India.
概括
苏 - 施里弗 - 希格 (SSH) 模型揭示了1D和2D系统中的新拓状态,其中包含调制跳跃. 主要的零模式出现在1D和2D中,但它们的存在取决于调制周期性和系统几何.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 拓学物质是一个拓学物质.
- 量子力学就是量子力学.
背景情况:
- 苏-施里弗-希格尔 (SSH) 模型是理解拓末端/边缘状态和马约拉纳费米翁的基础.
- 拓状态提供了对局部扰动的稳定性,使它们成为量子技术的前景.
研究的目的:
- 在具有空间周期性跳跃调制的1D和2D系统中调查拓状态和Majorana零模式.
- 探索跳跃周期性和维度对这些拓状态的出现和特征的影响.
主要方法:
- 一个和两个维度的Su-Schrieffer-Heeger (SSH) 系统的理论建模.
- 用空间周期调制对最近邻居跳跃的分析.
- 检查拓状态,包括Majorana零模式 (MZMs),在有限的链条,带和方格格子.
主要成果:
- 在1D中,当跳跃周期超过两个格子间距时,出现新的 in-gap 终端状态和 Majorana 零模式 (MZM).
- 1D中的MZM可以在小的调制强度下从链条末端转移到两端.
- 2D系统在正方形格子中显示非零和零能量的拓状态,包括边缘和角模式.
- 2D 中的零能量模式对系统几何学 (消失在带中) 和调制参数敏感.
结论:
- 调制周期性对1D和2DSSH模型中Majorana零模式的可用性产生重大影响.
- 维度和特定的格子几何形状 (正方形与带) 极大地影响了拓状态的表现.
- 调调制参数为控制和潜在地利用拓状态和密集物质系统中的Majorana费米子提供了一条途径.
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