短距离无关联无序模型中的移动性边缘的缺失:局部和扩展状态的共存
Adway Kumar Das1, Anandamohan Ghosh1, Ivan M Khaymovich2
1Indian Institute of Science Education and Research Kolkata, Mohanpur, 741246 India.
Physical review letters
|November 5, 2023
概括
这项研究提出了一个有局部和扩展状态的无序模型,没有移动边缘,挑战Mott的论点. 这些发现揭示了强大的共存,并提供了对非ergodic扩展状态的见解.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 无序的系统是一个无序的系统.
- 量子力学就是量子力学.
背景情况:
- 莫特的论点认为,局部化和扩展状态在通用随机潜力中不能在相同的能量下共存.
- 移动边缘的概念通常在无序系统中将局部和扩展状态分开.
研究的目的:
- 制定原则,并提供一个无序模型的例子,展示共存的局部化和扩展状态,没有移动性边缘.
- 挑战在无序系统中对状态局部化的传统理解.
主要方法:
- 使用了近邻紧密结合的无序模型,具有随机潜力和不均的跳跃项.
- 在本地将模型映射到1D安德森模型中,具有位置依赖跳跃.
- 分析了状态与扰动共存的稳定性.
主要成果:
- 证明了局部化和扩展状态在 $\beta$ 组合中没有移动边缘的共存.
- 证实了这种共存对潜在和动力学上的干扰的强度.
- 表明扩展状态是nonergodic,并估计了它们的碎形维度.
结论:
- 在特定的无序系统中,局部和扩展状态的共存是可能的,而无需移动边缘.
- 国家的空间分离有助于它们的共存的稳定性.
- 该研究提供了对非ergodic扩展状态的性质的分析见解.
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