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相关概念视频

Bewley Lattice Diagram01:12

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The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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安德森局部化过渡在无序的过度波力格子中.

Anffany Chen1, Joseph Maciejko1, Igor Boettcher1

  • 1Theoretical Physics Institute, <a href="https://ror.org/0160cpw27">University of Alberta</a>, Edmonton, Alberta T6G 2E1, Canada and Department of Physics, <a href="https://ror.org/0160cpw27">University of Alberta</a>, Edmonton, Alberta T6G 2E1, Canada.

Physical review letters
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PubMed
概括
此摘要是机器生成的。

我们研究了安德森定位在超标格子上的无序系统. 我们的发现揭示了一个明显的局部化过渡,具有很大的临界障碍强度和显著的有限尺寸效应.

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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.
  • 几何格子是一个几何格子.

背景情况:

  • 安德森局部化描述了波函数在无序系统中的限制.
  • 超标格子在2D晶体和Bethe格子之间提供独特的几何形状.
  • 了解这些中间几何体的本地化是至关重要的.

研究的目的:

  • 为了研究超标格子上的无序紧密结合模型中的安德森定位.
  • 为了确定局部化的关键障碍强度和指数.
  • 为了分析有限大小对超标格子的影响.

主要方法:

  • 运用计算群理论来构建大型超标晶格系统.
  • 采用周期性边界条件来接近热力学极限.
  • 执行数值模拟来研究安德森本地化过渡.

主要成果:

  • 证明了在{8,3}和{8,8}的超标格子上存在安德森局部化过渡.
  • 观察到异常大的临界障碍强度.
  • 在水平统计数据中发现了一个强大的有限大小效应.

结论:

  • 超标格子表现出安德森局部化过渡.
  • 关键障碍强度明显大于其他一些格子类型.
  • 有限大小的效应在理解这些格子上的局部化现象方面发挥着至关重要的作用.