在非赫米特系统中,局部化过渡取决于互惠性和跳跃不对称性
Daniil Kochergin1,2, Vasilii Tiselko2,3, Arsenii Onuchin2,4
1Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia.
Physical review. E
|May 17, 2024
概括
本研究探讨了指向图的非赫米特系统中的安德森局部化,揭示了由图结构和参数影响的不同局部化状态 (左,右,双直角). 它确定了驱动局部化的关键特征以及混乱对这些现象的影响.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子力学就是量子力学.
- 网络科学 网络科学
背景情况:
- 安德森局部化描述了无序系统中无扩散的情况.
- 非赫米特系统表现出独特的现象,如特殊点和复杂的固有值.
- 图形理论为研究复杂网络结构提供了一个框架.
研究的目的:
- 在指向图上研究单粒子安德森定位在非赫米特系统中.
- 分析互惠,跳跃不对称和图形结构对本地化的影响.
- 了解左边,右边和双直角局部状态的出现和特征.
主要方法:
- 通过控制互惠和跳跃不对称性来修改随机正规和标准随机图形模型.
- 在指向随机图中,在异常点附近的生物斜边定位的分析和数值描述.
- 对状态集群,移动边缘和对角形失调的影响进行数值调查.
主要成果:
- 左边,双直角和右边局部状态的出现取决于图形结构 (例如,节点度) 和系统参数.
- 在指向图中,分析和数值证据证明了在异常点附近的双直角定位.
- 识别影响本地化的结构特征 (拓不变节点,排水道,源头).
- 对于一个随机正则图 (d=4) 在高失序 (W∼20) 中,对局部性的互惠依赖的消失.
- 显著减少双直角碎形维度与小对角障碍.
- 观察局部化痕和局部化状态的交替带在W∼5.5周围的光谱内.
结论:
- 这项研究阐明了非赫密度,图形拓和安德森定位之间的复杂相互作用.
- 定向图形结构和参数批判性地决定了局部状态的性质和存在.
- 诊断障碍显著改变局部化特性,导致像局部化痕这样的现象.
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