在Su-Schrieffer-Heeger链的拓状态中,非密度诱导的大小依赖效应
Zhuo Bin Siu1, S M Rafi-Ul-Islam1, Mansoor B A Jalil1
1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore.
概括
本研究探讨了一个非互惠的Su-Schrieffer-Heeger (SSH) 链,揭示了四个不同的阶段和复杂的,取决于尺寸的拓边缘状态. 此外,还分析了非赫尔密斯式皮肤效应竞争.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 拓学材料 拓学材料
- 非赫米特系统的非赫米特系统
背景情况:
- 苏-施里弗-希格尔 (SSH) 模型是一个基本的一维拓绝缘体.
- 非隐秘性引入复杂的现象,如非隐秘性皮肤效应.
- 研究SSH链中的非互惠性对于理解新的量子状态至关重要.
研究的目的:
- 为了研究一个非互惠的SSH链,具有细胞内部和细胞间的非互惠性.
- 分析不同阶段和拓边缘状态的出现.
- 了解拓模式的尺寸依赖行为及其与非赫米特皮肤效应的相互作用.
主要方法:
- 一个非互惠的SSH链的理论建模.
- 对等时间 (PT) 对称度及其破裂的分析.
- 针对不同系统大小和参数的自身能量频谱计算.
主要成果:
- 识别四个不同的阶段:反PT对称,断裂PT对称,复合 (C) 和PT对称.
- 对以尺寸为依赖的固有能量 (复杂,真实,想象) 的拓学上非微不足道的边缘状态的观察.
- 对拓式零模式的关键系统大小的演示以及由于非赫米特皮肤效应而导致边缘定位的切换.
结论:
- 对非赫米特式SSH链中的复杂行为进行分析解释.
- 非互惠,PT对称和系统大小之间的相互作用决定了拓性质.
- 取决于大小的现象为控制非赫米特系统中的拓状态提供了新的途径.
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