标题： 非互易无序系统中的亚波长局域化 显示英文标题

标题： Subwavelength Localisation in Nonreciprocal Disordered Systems

摘要： 我们研究了在非互易阻尼（由虚数规范势引起）作用下，一维无序块亚波长谐振器系统中局域化的竞争机制。 通过一种对称化方法，使从厄米系统中适应工具成为可能，我们推导出当块的数量趋于无穷大时这些系统的极限谱分布，并根据其组成块的谱特性来表征它们的谱特性。 通过采用传递矩阵方法，我们随后根据李雅普诺夫指数阐明了由于虚数规范势引起的边缘局域化与由于无序引起的体局域化之间的竞争。 特别是，我们展示了无序如何起到绝缘作用，防止小虚数规范势下的边缘局域化。 显示英文摘要

摘要： We investigate the competing mechanisms of localisation in one-dimensional disordered block subwavelength resonator systems subject to nonreciprocal damping, induced by an imaginary gauge potential. Using a symmetrisation approach to enable the adaptation of tools from Hermitian systems, we derive the limiting spectral distribution of these systems as the number of blocks goes to infinity and characterise their spectral properties in terms of the spectral properties of their constituent blocks. By employing a transfer matrix approach, we then clarify, in terms of Lyapunov exponents, the competition between the edge localisation due to imaginary gauge potentials and the bulk localisation due to disorder. In particular, we demonstrate how the disorder acts as insulation, preventing edge localisation for small imaginary gauge potentials.