Topological Anderson phases (TAPs) offer intriguing transitions from ordered to disordered systems in photonics and acoustics. However, achieving these transitions often involves cumbersome structural modifications to introduce disorders in parameters, leading to limitations in flexible tuning of topological properties and real-space control of TAPs. Here, we exploit disordered convective perturbations in a fixed heat transport system. Continuously tunable disorder-topology interactions are enabled in thermal dissipation through irregular convective lattices. In the presence of a weak convective disorder, the trivial diffusive system undergos TAP transition, characterized by the emergence of topologically protected corner modes. Further increasing the strength of convective perturbations, a second phase transition occurs converting from TAP to Anderson phase. Our work elucidates the pivotal role of disorders in topological heat transport and provides a novel recipe for manipulating thermal behaviors in diverse topological platforms.

中文翻译：

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热传输中的拓扑安德森相


拓扑安德森相（TAP）在光子学和声学领域提供了从有序系统到无序系统的有趣转变。然而，实现这些转变通常涉及繁琐的结构修改，从而引入参数紊乱，从而导致拓扑特性的灵活调整和 TAP 的真实空间控制受到限制。在这里，我们利用固定热传输系统中的无序对流扰动。通过不规则的对流晶格在热耗散中实现连续可调的无序拓扑相互作用。在存在弱对流紊乱的情况下，平凡扩散系统会发生 TAP 转变，其特征是出现拓扑保护角模式。进一步增加对流扰动的强度，发生第二相变，从 TAP 转换到安德森相。我们的工作阐明了拓扑热传输中紊乱的关键作用，并为操纵不同拓扑平台中的热行为提供了一种新的方法。