Anomalous Random Multipolar Driven Insulators

Anomalous Floquet-Anderson Insulator with Quasiperiodic Temporal Noise

Time-periodic (Floquet) drive can give rise to novel symmetry breaking and topological phases of matter. Recently, we showed that a quintessential Floquet topological phase known as the anomalous Floquet-Anderson insulator is stable to noise on the timing of its Floquet drive. Here, we perturb the anomalous Floquet-Anderson insulator at a single incommensurate frequency, resulting in a quasiperiodic 2-tone drive. Our numerics indicate that a robust topological phase survives at weak noise with topological pumping that is more stable than the case of white noise. Within the topological phase, w…

氢化石墨烯中的金属-绝缘体转变作为反常型准粒子谱重排的表现

Metal-insulator transition in hydrogenated graphene as manifestation of quasiparticle spectrum rearrangement of anomalous type

我们证明，光谱重排可以被认为是在石墨烯中观察到的金属-绝缘体转变的前体与氢原子。Anderson型跃迁归因于费米能级与迁移率边的重合，而这一现象是由谱重排引起的。现有的实验数据进行了彻底的比较，Lifshitz杂质模型的理论结果。

Anomalous localization at the boundary of an interacting topological insulator

The boundary of a topological insulator (TI) hosts an anomaly restricting its possible phases: e.g. 3D strong and weak TIs maintain surface conductivity at any disorder if symmetry is preserved on-average, at least when electron interactions on the surface are weak. However the interplay of strong interactions and disorder with the boundary anomaly has not yet been theoretically addressed. Here we study this combination for the edge of a 2D TI and the surface of a 3D weak TI, showing how it can lead to an "Anomalous Many Body Localized" (AMBL) phase that preserves the anomaly. We discuss how t…

连续驱动光晶格中的反常Floquet Anderson绝缘体

The anomalous Floquet Anderson insulator in a continuously driven optical lattice

本文证明在连续驱动光晶格的反常Floquet拓扑绝缘体中引入无序可稳定反常Floquet Anderson绝缘体相，体态局域化而泵浦电荷保持量子化。

Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films

In magnetically doped thin-film topological insulators, aligning the magnetic moments generates a quantum anomalous Hall phase supporting a single chiral edge state. We show that as the system de-magnetizes, disorder from randomly oriented magnetic moments can produce a `quantum anomalous parity Hall' phase with \emph{helical} edge modes protected by a unitary reflection symmetry. We further show that introducing superconductivity, combined with selective breaking of reflection symmetry by a gate, allows for creation and manipulation of Majorana zero modes via purely electrical means and at ze…

反常Floquet-Anderson绝缘体作为非绝热量子化电荷泵

The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump

周期性驱动的量子系统为实现拓扑现象提供了一个新颖而通用的平台。其中有类似于拓扑绝缘体和超导体，可在静态系统中实现;然而，其中一些现象是周期性驱动情况下所特有的。在这里，我们表明，无序的，周期性驱动系统承认一个“异常”的二维相位，其准能谱由手征边缘模式，共存于一个完全本地化的散装-静态哈密顿不可能。这种独特的情况作为一个新的拓扑保护的非平衡输运现象的基础：量子化非绝热电荷泵。我们确定的散装拓扑不变量的特点，新的阶段（我们称之为“异常Floquet安德森绝缘体”，或AFAI）。我们提供了明确的模型，构成了新阶段的存在的原则证明。最后，我们提出的证据表明，从AFAI到一个平凡的，完全本地化的阶段的无序驱动的过渡是在同一个普适性类的量子霍尔坪过渡。