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准周期性障碍诱导周期性驱动的二元化p波基塔耶夫链中的关键阶段
Koustav Roy1, Shilpi Roy2,3, Saurabh Basu2
1Department of Physics, Indian Institute of Technology Guwahati, Guwahati, 781039, Assam, India. koustav.roy@iitg.ac.in.
Scientific reports
|September 4, 2024
概括
我们研究了一条带动的基塔耶夫链,发现了新的拓阶段和局部化行为. 本文探讨了量子系统中拓,混乱和非平衡动态之间的相互作用.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子系统 量子系统
- 拓学材料 拓学材料
背景情况:
- 非平衡量子系统为研究局部化等现象提供了独特的平台.
- 拓与混乱之间的相互作用对于理解量子系统中的定位至关重要.
- 基塔耶夫链是探索拓和马约拉纳属性的基本模型.
研究的目的:
- 在周期性驱动和准周期性潜力下研究一维维度化基塔耶夫链的拓和定位特征.
- 在驱动,无序的拓系统中分析Floquet Majorana模式的行为.
- 在拓环境中探索二分化,准周期性障碍和非平衡驱动之间的相互作用.
主要方法:
- 分析拓不变量 (实空间绕数) 来构建相位图.
- 调查Floquet Majorana模式及其定位特性.
- 使用本地化工具,如反向和正常化参与比率,以及有限尺寸缩放分析的碎形维度.
主要成果:
- 驱动系统表现出零和马约拉纳模式,相图显示过渡到微不足道,非微不足道和安德森局部化阶段.
- 确定了一种新的"Floquet拓学安德森阶段",其特点是大量和边缘模式的完全本地化.
- 在不同的驾驶频率模式中观察到不同的局部化行为 (扩展,局部化,关键/多分形).
结论:
- 该研究揭示了丰富的相位图和新的拓相位在驱动,无序的基塔耶夫链中,与静态系统不同.
- 这些发现突出了独特的Floquet拓学安德森相的出现,具有完整的局部化.
- 这项研究通过先进的分析技术,为关键阶段的特性提供了深刻的见解.
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